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Finding the Fourth Proportional to 3,949.92, 5,452.32 and 2,697.44

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Solution

The fourth proportional to 3,949.92, 5,452.32 and 2,697.44 is: 3,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.92 : 5,452.32 = 2,697.44 : x
  2. Step 2: Convert to fraction form
    3,949.92/5,452.32 = 2,697.44/x
  3. Step 3: Cross multiply
    3,949.92x = 5,452.32 × 2,697.44
  4. Step 4: Simplify right side
    3,949.92x = 14,707,306.06
  5. Step 5: Solve for x
    x = 14,707,306.06/3,949.92
  6. Step 6: Final answer
    x = 3,723.44

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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.