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Finding the Fourth Proportional to 3,997.96, 5,992.80 and 1,532.14

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Solution

The fourth proportional to 3,997.96, 5,992.80 and 1,532.14 is: 2,296.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.96 : 5,992.80 = 1,532.14 : x
  2. Step 2: Convert to fraction form
    3,997.96/5,992.80 = 1,532.14/x
  3. Step 3: Cross multiply
    3,997.96x = 5,992.80 × 1,532.14
  4. Step 4: Simplify right side
    3,997.96x = 9,181,808.59
  5. Step 5: Solve for x
    x = 9,181,808.59/3,997.96
  6. Step 6: Final answer
    x = 2,296.62

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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.