In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
1, 3, ['X', '4479', 'b', 'Y', '3553', '185', 'G', 'i', 'Z', '5255', '1813', 'L', 'L', '1209', '6311', '3765', 'F', '753', '6053', '5617']