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Finding the Fourth Proportional to 5,691.97, 7,850.01 and 3,701.80

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Solution

The fourth proportional to 5,691.97, 7,850.01 and 3,701.80 is: 5,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.97 : 7,850.01 = 3,701.80 : x
  2. Step 2: Convert to fraction form
    5,691.97/7,850.01 = 3,701.80/x
  3. Step 3: Cross multiply
    5,691.97x = 7,850.01 × 3,701.80
  4. Step 4: Simplify right side
    5,691.97x = 29,059,167.02
  5. Step 5: Solve for x
    x = 29,059,167.02/5,691.97
  6. Step 6: Final answer
    x = 5,105.29

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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.