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Finding the Fourth Proportional to 3,387.72, 4,672.43 and 2,446.86

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Solution

The fourth proportional to 3,387.72, 4,672.43 and 2,446.86 is: 3,374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.72 : 4,672.43 = 2,446.86 : x
  2. Step 2: Convert to fraction form
    3,387.72/4,672.43 = 2,446.86/x
  3. Step 3: Cross multiply
    3,387.72x = 4,672.43 × 2,446.86
  4. Step 4: Simplify right side
    3,387.72x = 11,432,784.01
  5. Step 5: Solve for x
    x = 11,432,784.01/3,387.72
  6. Step 6: Final answer
    x = 3,374.77

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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.