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Finding the Fourth Proportional to 4,660.43, 6,432.29 and 2,672.31

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Solution

The fourth proportional to 4,660.43, 6,432.29 and 2,672.31 is: 3,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.43 : 6,432.29 = 2,672.31 : x
  2. Step 2: Convert to fraction form
    4,660.43/6,432.29 = 2,672.31/x
  3. Step 3: Cross multiply
    4,660.43x = 6,432.29 × 2,672.31
  4. Step 4: Simplify right side
    4,660.43x = 17,189,059.53
  5. Step 5: Solve for x
    x = 17,189,059.53/4,660.43
  6. Step 6: Final answer
    x = 3,688.30

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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.