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Finding the Fourth Proportional to 4,294.04, 6,432.89 and 2,446.43

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Solution

The fourth proportional to 4,294.04, 6,432.89 and 2,446.43 is: 3,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.04 : 6,432.89 = 2,446.43 : x
  2. Step 2: Convert to fraction form
    4,294.04/6,432.89 = 2,446.43/x
  3. Step 3: Cross multiply
    4,294.04x = 6,432.89 × 2,446.43
  4. Step 4: Simplify right side
    4,294.04x = 15,737,615.08
  5. Step 5: Solve for x
    x = 15,737,615.08/4,294.04
  6. Step 6: Final answer
    x = 3,664.99

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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.