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.
4, 11, ['3583', '9385', 'x', '2409', 'C', '4581', 'W', '3903', '2723', '9507', '8551', 'R', '4423', 'B', '2051', '8471', 'a', '5747', 'N', 'X', '9737', '5351']