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Finding the Fourth Proportional to 4,962.72, 7,446.24 and 3,426.24

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Solution

The fourth proportional to 4,962.72, 7,446.24 and 3,426.24 is: 5,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.72 : 7,446.24 = 3,426.24 : x
  2. Step 2: Convert to fraction form
    4,962.72/7,446.24 = 3,426.24/x
  3. Step 3: Cross multiply
    4,962.72x = 7,446.24 × 3,426.24
  4. Step 4: Simplify right side
    4,962.72x = 25,512,605.34
  5. Step 5: Solve for x
    x = 25,512,605.34/4,962.72
  6. Step 6: Final answer
    x = 5,140.85

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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.