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Finding the Fourth Proportional to 5,644.08, 7,781.13 and 3,755.75

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Solution

The fourth proportional to 5,644.08, 7,781.13 and 3,755.75 is: 5,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.08 : 7,781.13 = 3,755.75 : x
  2. Step 2: Convert to fraction form
    5,644.08/7,781.13 = 3,755.75/x
  3. Step 3: Cross multiply
    5,644.08x = 7,781.13 × 3,755.75
  4. Step 4: Simplify right side
    5,644.08x = 29,223,940.09
  5. Step 5: Solve for x
    x = 29,223,940.09/5,644.08
  6. Step 6: Final answer
    x = 5,177.80

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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.