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Finding the Fourth Proportional to 6,617.57, 9,131.84 and 3,633.39

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Solution

The fourth proportional to 6,617.57, 9,131.84 and 3,633.39 is: 5,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.57 : 9,131.84 = 3,633.39 : x
  2. Step 2: Convert to fraction form
    6,617.57/9,131.84 = 3,633.39/x
  3. Step 3: Cross multiply
    6,617.57x = 9,131.84 × 3,633.39
  4. Step 4: Simplify right side
    6,617.57x = 33,179,517.97
  5. Step 5: Solve for x
    x = 33,179,517.97/6,617.57
  6. Step 6: Final answer
    x = 5,013.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.