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Finding the Fourth Proportional to 3,654.72, 5,044.14 and 2,082.78

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Solution

The fourth proportional to 3,654.72, 5,044.14 and 2,082.78 is: 2,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.72 : 5,044.14 = 2,082.78 : x
  2. Step 2: Convert to fraction form
    3,654.72/5,044.14 = 2,082.78/x
  3. Step 3: Cross multiply
    3,654.72x = 5,044.14 × 2,082.78
  4. Step 4: Simplify right side
    3,654.72x = 10,505,833.91
  5. Step 5: Solve for x
    x = 10,505,833.91/3,654.72
  6. Step 6: Final answer
    x = 2,874.59

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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.