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, 2, ['4319', '3495']
7814

3, 4, ['v', 't', '4357', '1303']
5660

2, 3, ['o', 'p', '4765', 'u', '629', 'p']

4765