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Finding the Fourth Proportional to 3,997.68, 5,516.83 and 2,229.40

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Solution

The fourth proportional to 3,997.68, 5,516.83 and 2,229.40 is: 3,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.68 : 5,516.83 = 2,229.40 : x
  2. Step 2: Convert to fraction form
    3,997.68/5,516.83 = 2,229.40/x
  3. Step 3: Cross multiply
    3,997.68x = 5,516.83 × 2,229.40
  4. Step 4: Simplify right side
    3,997.68x = 12,299,226.38
  5. Step 5: Solve for x
    x = 12,299,226.38/3,997.68
  6. Step 6: Final answer
    x = 3,076.59

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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.