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Finding the Fourth Proportional to 3,609.86, 5,407.88 and 2,144.56

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Solution

The fourth proportional to 3,609.86, 5,407.88 and 2,144.56 is: 3,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.86 : 5,407.88 = 2,144.56 : x
  2. Step 2: Convert to fraction form
    3,609.86/5,407.88 = 2,144.56/x
  3. Step 3: Cross multiply
    3,609.86x = 5,407.88 × 2,144.56
  4. Step 4: Simplify right side
    3,609.86x = 11,597,523.13
  5. Step 5: Solve for x
    x = 11,597,523.13/3,609.86
  6. Step 6: Final answer
    x = 3,212.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.