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Finding the Fourth Proportional to 3,997.40, 5,996.10 and 2,532.20

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Solution

The fourth proportional to 3,997.40, 5,996.10 and 2,532.20 is: 3,798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.40 : 5,996.10 = 2,532.20 : x
  2. Step 2: Convert to fraction form
    3,997.40/5,996.10 = 2,532.20/x
  3. Step 3: Cross multiply
    3,997.40x = 5,996.10 × 2,532.20
  4. Step 4: Simplify right side
    3,997.40x = 15,183,324.42
  5. Step 5: Solve for x
    x = 15,183,324.42/3,997.40
  6. Step 6: Final answer
    x = 3,798.30

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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.