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Finding the Fourth Proportional to 5,377.62, 8,067.84 and 2,255.94

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Solution

The fourth proportional to 5,377.62, 8,067.84 and 2,255.94 is: 3,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.62 : 8,067.84 = 2,255.94 : x
  2. Step 2: Convert to fraction form
    5,377.62/8,067.84 = 2,255.94/x
  3. Step 3: Cross multiply
    5,377.62x = 8,067.84 × 2,255.94
  4. Step 4: Simplify right side
    5,377.62x = 18,200,562.97
  5. Step 5: Solve for x
    x = 18,200,562.97/5,377.62
  6. Step 6: Final answer
    x = 3,384.50

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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.