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Finding the Fourth Proportional to 3,997.70, 5,516.90 and 2,229.12

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Solution

The fourth proportional to 3,997.70, 5,516.90 and 2,229.12 is: 3,076.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.70 : 5,516.90 = 2,229.12 : x
  2. Step 2: Convert to fraction form
    3,997.70/5,516.90 = 2,229.12/x
  3. Step 3: Cross multiply
    3,997.70x = 5,516.90 × 2,229.12
  4. Step 4: Simplify right side
    3,997.70x = 12,297,818.34
  5. Step 5: Solve for x
    x = 12,297,818.34/3,997.70
  6. Step 6: Final answer
    x = 3,076.22

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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.