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Finding the Fourth Proportional to 4,294.57, 6,441.96 and 2,432.38

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Solution

The fourth proportional to 4,294.57, 6,441.96 and 2,432.38 is: 3,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.57 : 6,441.96 = 2,432.38 : x
  2. Step 2: Convert to fraction form
    4,294.57/6,441.96 = 2,432.38/x
  3. Step 3: Cross multiply
    4,294.57x = 6,441.96 × 2,432.38
  4. Step 4: Simplify right side
    4,294.57x = 15,669,294.66
  5. Step 5: Solve for x
    x = 15,669,294.66/4,294.57
  6. Step 6: Final answer
    x = 3,648.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.