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Finding the Fourth Proportional to 4,121.78, 6,167.22 and 2,449.79

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Solution

The fourth proportional to 4,121.78, 6,167.22 and 2,449.79 is: 3,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.78 : 6,167.22 = 2,449.79 : x
  2. Step 2: Convert to fraction form
    4,121.78/6,167.22 = 2,449.79/x
  3. Step 3: Cross multiply
    4,121.78x = 6,167.22 × 2,449.79
  4. Step 4: Simplify right side
    4,121.78x = 15,108,363.05
  5. Step 5: Solve for x
    x = 15,108,363.05/4,121.78
  6. Step 6: Final answer
    x = 3,665.50

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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.