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Finding the Fourth Proportional to 3,914.38, 5,404.68 and 2,519.56

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Solution

The fourth proportional to 3,914.38, 5,404.68 and 2,519.56 is: 3,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.38 : 5,404.68 = 2,519.56 : x
  2. Step 2: Convert to fraction form
    3,914.38/5,404.68 = 2,519.56/x
  3. Step 3: Cross multiply
    3,914.38x = 5,404.68 × 2,519.56
  4. Step 4: Simplify right side
    3,914.38x = 13,617,375.92
  5. Step 5: Solve for x
    x = 13,617,375.92/3,914.38
  6. Step 6: Final answer
    x = 3,478.81

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Why These Related Problems?

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