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Finding the Fourth Proportional to 3,381.91, 5,074.38 and 2,149

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Solution

The fourth proportional to 3,381.91, 5,074.38 and 2,149 is: 3,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.91 : 5,074.38 = 2,149 : x
  2. Step 2: Convert to fraction form
    3,381.91/5,074.38 = 2,149/x
  3. Step 3: Cross multiply
    3,381.91x = 5,074.38 × 2,149
  4. Step 4: Simplify right side
    3,381.91x = 10,904,842.62
  5. Step 5: Solve for x
    x = 10,904,842.62/3,381.91
  6. Step 6: Final answer
    x = 3,224.46

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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.