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Finding the Fourth Proportional to 3,247.72, 4,861.98 and 2,149

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Solution

The fourth proportional to 3,247.72, 4,861.98 and 2,149 is: 3,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.72 : 4,861.98 = 2,149 : x
  2. Step 2: Convert to fraction form
    3,247.72/4,861.98 = 2,149/x
  3. Step 3: Cross multiply
    3,247.72x = 4,861.98 × 2,149
  4. Step 4: Simplify right side
    3,247.72x = 10,448,395.02
  5. Step 5: Solve for x
    x = 10,448,395.02/3,247.72
  6. Step 6: Final answer
    x = 3,217.15

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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.