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Finding the Fourth Proportional to 3,937.96, 5,437.14 and 2,446.48

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Solution

The fourth proportional to 3,937.96, 5,437.14 and 2,446.48 is: 3,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.96 : 5,437.14 = 2,446.48 : x
  2. Step 2: Convert to fraction form
    3,937.96/5,437.14 = 2,446.48/x
  3. Step 3: Cross multiply
    3,937.96x = 5,437.14 × 2,446.48
  4. Step 4: Simplify right side
    3,937.96x = 13,301,854.27
  5. Step 5: Solve for x
    x = 13,301,854.27/3,937.96
  6. Step 6: Final answer
    x = 3,377.85

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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.