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, 5, ['2167', '7427', 'i', '7289', 'I', '3935', 'o', '6443', 'T', 'e', 'K', '2979', '2025', '5819']
7289

2, 3, ['3335', '3451', 'f', 'M']
3451

5, 18, ['6799', 'W', 't', '5523', 'B', '4997', 'l', '3009', 'v', 'n', 'w', 'G', '5571', 'D', '9643', 'l', '8201', 'd', '707']

31421