Explanation:

- To solve the problem, we need to follow the same rearrangement patterns as seen in the given example.

- Analyze how words and numbers are rearranged in the previous steps:

- Words are reordered in descending alphabetical order step by step.

- Numbers move to the end in ascending order at each step.

- Input Sequence: 81 Reverse 68 Dance 35 57 Length Yielding 93 42 Progress Easily

- Step I: Move the smallest number to the end.

- Step II: Shift the first word (from the back with the highest alphabetical order) to the beginning.

- Step IV focuses on reordering words and then the second smallest number in order.

- Arrangement Result by Step IV:

- Yielding, 68, Reverse, 57, Progress, 81, Length, Easily, Dance, 35, 42, 93

- The sequences in each step:

- After arranging these steps, the question "(Which of the following is the third word from the right end in Step IV?)"

- Option Analysis:

- Progress is right after Easily when arranged by the steps given.

- Thus, from Step IV, the third word from the right end is "Progress."

- Correct answer is highlighted below:

- Option 4: Progress