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Finding the Fourth Proportional to 3,997.62, 5,996.46 and 1,224.35

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Solution

The fourth proportional to 3,997.62, 5,996.46 and 1,224.35 is: 1,836.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.62 : 5,996.46 = 1,224.35 : x
  2. Step 2: Convert to fraction form
    3,997.62/5,996.46 = 1,224.35/x
  3. Step 3: Cross multiply
    3,997.62x = 5,996.46 × 1,224.35
  4. Step 4: Simplify right side
    3,997.62x = 7,341,735.82
  5. Step 5: Solve for x
    x = 7,341,735.82/3,997.62
  6. Step 6: Final answer
    x = 1,836.53

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Double scale
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Similar ratio
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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.