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Finding the Fourth Proportional to 5,899.97, 8,849.31 and 3,702.17

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Solution

The fourth proportional to 5,899.97, 8,849.31 and 3,702.17 is: 5,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.97 : 8,849.31 = 3,702.17 : x
  2. Step 2: Convert to fraction form
    5,899.97/8,849.31 = 3,702.17/x
  3. Step 3: Cross multiply
    5,899.97x = 8,849.31 × 3,702.17
  4. Step 4: Simplify right side
    5,899.97x = 32,761,605.76
  5. Step 5: Solve for x
    x = 32,761,605.76/5,899.97
  6. Step 6: Final answer
    x = 5,552.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.