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.

5, 8, ['6771', 'I', 'q', 'O', 'X', 'h', '8289', 'G', 'q', '2113', '2689', '4503', 'y', '1031']
8289