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Finding the Fourth Proportional to 3,997.86, 5,998.34 and 1,532.11

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Solution

The fourth proportional to 3,997.86, 5,998.34 and 1,532.11 is: 2,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.86 : 5,998.34 = 1,532.11 : x
  2. Step 2: Convert to fraction form
    3,997.86/5,998.34 = 1,532.11/x
  3. Step 3: Cross multiply
    3,997.86x = 5,998.34 × 1,532.11
  4. Step 4: Simplify right side
    3,997.86x = 9,190,094.04
  5. Step 5: Solve for x
    x = 9,190,094.04/3,997.86
  6. Step 6: Final answer
    x = 2,298.75

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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.