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Finding the Fourth Proportional to 4,327.68, 5,972.40 and 2,439.14

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Solution

The fourth proportional to 4,327.68, 5,972.40 and 2,439.14 is: 3,366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.68 : 5,972.40 = 2,439.14 : x
  2. Step 2: Convert to fraction form
    4,327.68/5,972.40 = 2,439.14/x
  3. Step 3: Cross multiply
    4,327.68x = 5,972.40 × 2,439.14
  4. Step 4: Simplify right side
    4,327.68x = 14,567,519.74
  5. Step 5: Solve for x
    x = 14,567,519.74/4,327.68
  6. Step 6: Final answer
    x = 3,366.13

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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.