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Finding the Fourth Proportional to 3,997.71, 5,996.43 and 1,076.04

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Solution

The fourth proportional to 3,997.71, 5,996.43 and 1,076.04 is: 1,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.71 : 5,996.43 = 1,076.04 : x
  2. Step 2: Convert to fraction form
    3,997.71/5,996.43 = 1,076.04/x
  3. Step 3: Cross multiply
    3,997.71x = 5,996.43 × 1,076.04
  4. Step 4: Simplify right side
    3,997.71x = 6,452,398.54
  5. Step 5: Solve for x
    x = 6,452,398.54/3,997.71
  6. Step 6: Final answer
    x = 1,614.02

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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.