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Finding the Fourth Proportional to 5,640.35, 7,781.02 and 3,752.85

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Solution

The fourth proportional to 5,640.35, 7,781.02 and 3,752.85 is: 5,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.35 : 7,781.02 = 3,752.85 : x
  2. Step 2: Convert to fraction form
    5,640.35/7,781.02 = 3,752.85/x
  3. Step 3: Cross multiply
    5,640.35x = 7,781.02 × 3,752.85
  4. Step 4: Simplify right side
    5,640.35x = 29,201,000.91
  5. Step 5: Solve for x
    x = 29,201,000.91/5,640.35
  6. Step 6: Final answer
    x = 5,177.16

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