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Finding the Fourth Proportional to 3,924.96, 5,414.40 and 2,432.40

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Solution

The fourth proportional to 3,924.96, 5,414.40 and 2,432.40 is: 3,355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.96 : 5,414.40 = 2,432.40 : x
  2. Step 2: Convert to fraction form
    3,924.96/5,414.40 = 2,432.40/x
  3. Step 3: Cross multiply
    3,924.96x = 5,414.40 × 2,432.40
  4. Step 4: Simplify right side
    3,924.96x = 13,169,986.56
  5. Step 5: Solve for x
    x = 13,169,986.56/3,924.96
  6. Step 6: Final answer
    x = 3,355.44

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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.