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Finding the Fourth Proportional to 5,369.53, 7,402.17 and 3,771.31

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Solution

The fourth proportional to 5,369.53, 7,402.17 and 3,771.31 is: 5,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.53 : 7,402.17 = 3,771.31 : x
  2. Step 2: Convert to fraction form
    5,369.53/7,402.17 = 3,771.31/x
  3. Step 3: Cross multiply
    5,369.53x = 7,402.17 × 3,771.31
  4. Step 4: Simplify right side
    5,369.53x = 27,915,877.74
  5. Step 5: Solve for x
    x = 27,915,877.74/5,369.53
  6. Step 6: Final answer
    x = 5,198.94

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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.