Sometimes, while working with Python dictionaries, we can have a problem in which we need to flatten dictionary of key-value pair pairing the equal index elements together. This can have utilities in web development and Data Science domain. Lets discuss certain way in which this task can be performed.

Here's a Python program that takes in a list of key-value pairs and converts it into a flat dictionary: 

def flatten_dict(kv_list):
    flat_dict = {}
    for kv in kv_list:
        if isinstance(kv, dict):
            for k, v in kv.items():
                flat_dict.update({k: v})
        else:
            flat_dict.update({kv[0]: kv[1]})
    return flat_dict

The function flatten_dict takes in a list of key-value pairs, where each key-value pair can either be a dictionary or a tuple containing two elements (key, value). It then iterates through the list, checking whether each element is a dictionary or a tuple.

If the element is a dictionary, the function iterates through the key-value pairs in the dictionary and updates the flat_dict with each key-value pair. If the element is a tuple, the function updates the flat_dict with the key-value pair in the tuple.

Finally, the function returns the flat_dict, which contains all the key-value pairs from the original list flattened into a single dictionary.

Here's an example usage of the function: 

kv_list = [{'a': 1, 'b': 2}, ('c', 3), {'d': 4}]
flat_dict = flatten_dict(kv_list)
print(flat_dict)  # Output: {'a': 1, 'b': 2, 'c': 3, 'd': 4}

In this example, the kv_list contains a dictionary, a tuple, and another dictionary. The flatten_dict function converts this list into a flat dictionary with keys 'a', 'b', 'c', and 'd', and their corresponding values.