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Finding the Fourth Proportional to 3,997.62, 5,516.70 and 2,319.12

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Solution

The fourth proportional to 3,997.62, 5,516.70 and 2,319.12 is: 3,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.62 : 5,516.70 = 2,319.12 : x
  2. Step 2: Convert to fraction form
    3,997.62/5,516.70 = 2,319.12/x
  3. Step 3: Cross multiply
    3,997.62x = 5,516.70 × 2,319.12
  4. Step 4: Simplify right side
    3,997.62x = 12,793,889.30
  5. Step 5: Solve for x
    x = 12,793,889.30/3,997.62
  6. Step 6: Final answer
    x = 3,200.38

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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.