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Finding the Fourth Proportional to 5,747.16, 8,616.87 and 1,997.97

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Solution

The fourth proportional to 5,747.16, 8,616.87 and 1,997.97 is: 2,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.16 : 8,616.87 = 1,997.97 : x
  2. Step 2: Convert to fraction form
    5,747.16/8,616.87 = 1,997.97/x
  3. Step 3: Cross multiply
    5,747.16x = 8,616.87 × 1,997.97
  4. Step 4: Simplify right side
    5,747.16x = 17,216,247.75
  5. Step 5: Solve for x
    x = 17,216,247.75/5,747.16
  6. Step 6: Final answer
    x = 2,995.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.