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Finding the Fourth Proportional to 4,097.62, 5,654.10 and 3,957.49

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Solution

The fourth proportional to 4,097.62, 5,654.10 and 3,957.49 is: 5,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.62 : 5,654.10 = 3,957.49 : x
  2. Step 2: Convert to fraction form
    4,097.62/5,654.10 = 3,957.49/x
  3. Step 3: Cross multiply
    4,097.62x = 5,654.10 × 3,957.49
  4. Step 4: Simplify right side
    4,097.62x = 22,376,044.21
  5. Step 5: Solve for x
    x = 22,376,044.21/4,097.62
  6. Step 6: Final answer
    x = 5,460.74

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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.