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Finding the Fourth Proportional to 3,997.92, 5,516.85 and 2,296.62

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Solution

The fourth proportional to 3,997.92, 5,516.85 and 2,296.62 is: 3,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.92 : 5,516.85 = 2,296.62 : x
  2. Step 2: Convert to fraction form
    3,997.92/5,516.85 = 2,296.62/x
  3. Step 3: Cross multiply
    3,997.92x = 5,516.85 × 2,296.62
  4. Step 4: Simplify right side
    3,997.92x = 12,670,108.05
  5. Step 5: Solve for x
    x = 12,670,108.05/3,997.92
  6. Step 6: Final answer
    x = 3,169.17

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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.