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Finding the Fourth Proportional to 3,397.31, 4,689.92 and 2,138.97

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Solution

The fourth proportional to 3,397.31, 4,689.92 and 2,138.97 is: 2,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.31 : 4,689.92 = 2,138.97 : x
  2. Step 2: Convert to fraction form
    3,397.31/4,689.92 = 2,138.97/x
  3. Step 3: Cross multiply
    3,397.31x = 4,689.92 × 2,138.97
  4. Step 4: Simplify right side
    3,397.31x = 10,031,587.49
  5. Step 5: Solve for x
    x = 10,031,587.49/3,397.31
  6. Step 6: Final answer
    x = 2,952.81

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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.