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Finding the Fourth Proportional to 3,997.42, 5,996.99 and 1,532.24

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Solution

The fourth proportional to 3,997.42, 5,996.99 and 1,532.24 is: 2,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.42 : 5,996.99 = 1,532.24 : x
  2. Step 2: Convert to fraction form
    3,997.42/5,996.99 = 1,532.24/x
  3. Step 3: Cross multiply
    3,997.42x = 5,996.99 × 1,532.24
  4. Step 4: Simplify right side
    3,997.42x = 9,188,827.96
  5. Step 5: Solve for x
    x = 9,188,827.96/3,997.42
  6. Step 6: Final answer
    x = 2,298.69

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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.