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Finding the Fourth Proportional to 5,962.72, 8,229.16 and 3,604.80

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Solution

The fourth proportional to 5,962.72, 8,229.16 and 3,604.80 is: 4,974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.72 : 8,229.16 = 3,604.80 : x
  2. Step 2: Convert to fraction form
    5,962.72/8,229.16 = 3,604.80/x
  3. Step 3: Cross multiply
    5,962.72x = 8,229.16 × 3,604.80
  4. Step 4: Simplify right side
    5,962.72x = 29,664,475.97
  5. Step 5: Solve for x
    x = 29,664,475.97/5,962.72
  6. Step 6: Final answer
    x = 4,974.99

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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.