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Finding the Fourth Proportional to 3,997.78, 5,516.88 and 2,229.38

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Solution

The fourth proportional to 3,997.78, 5,516.88 and 2,229.38 is: 3,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.78 : 5,516.88 = 2,229.38 : x
  2. Step 2: Convert to fraction form
    3,997.78/5,516.88 = 2,229.38/x
  3. Step 3: Cross multiply
    3,997.78x = 5,516.88 × 2,229.38
  4. Step 4: Simplify right side
    3,997.78x = 12,299,221.93
  5. Step 5: Solve for x
    x = 12,299,221.93/3,997.78
  6. Step 6: Final answer
    x = 3,076.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.