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Finding the Fourth Proportional to 3,997.55, 5,996.31 and 1,399.88

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Solution

The fourth proportional to 3,997.55, 5,996.31 and 1,399.88 is: 2,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.55 : 5,996.31 = 1,399.88 : x
  2. Step 2: Convert to fraction form
    3,997.55/5,996.31 = 1,399.88/x
  3. Step 3: Cross multiply
    3,997.55x = 5,996.31 × 1,399.88
  4. Step 4: Simplify right side
    3,997.55x = 8,394,084.46
  5. Step 5: Solve for x
    x = 8,394,084.46/3,997.55
  6. Step 6: Final answer
    x = 2,099.81

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1.5x scale

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.