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Finding the Fourth Proportional to 3,997.86, 5,998.15 and 3,609.66

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Solution

The fourth proportional to 3,997.86, 5,998.15 and 3,609.66 is: 5,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.86 : 5,998.15 = 3,609.66 : x
  2. Step 2: Convert to fraction form
    3,997.86/5,998.15 = 3,609.66/x
  3. Step 3: Cross multiply
    3,997.86x = 5,998.15 × 3,609.66
  4. Step 4: Simplify right side
    3,997.86x = 21,651,309.13
  5. Step 5: Solve for x
    x = 21,651,309.13/3,997.86
  6. Step 6: Final answer
    x = 5,415.73

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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.