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Finding the Fourth Proportional to 3,998.62, 5,514.34 and 3,161.32

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Solution

The fourth proportional to 3,998.62, 5,514.34 and 3,161.32 is: 4,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.62 : 5,514.34 = 3,161.32 : x
  2. Step 2: Convert to fraction form
    3,998.62/5,514.34 = 3,161.32/x
  3. Step 3: Cross multiply
    3,998.62x = 5,514.34 × 3,161.32
  4. Step 4: Simplify right side
    3,998.62x = 17,432,593.33
  5. Step 5: Solve for x
    x = 17,432,593.33/3,998.62
  6. Step 6: Final answer
    x = 4,359.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.