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Finding the Fourth Proportional to 4,149.38, 6,224.09 and 1,227.66

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Solution

The fourth proportional to 4,149.38, 6,224.09 and 1,227.66 is: 1,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.38 : 6,224.09 = 1,227.66 : x
  2. Step 2: Convert to fraction form
    4,149.38/6,224.09 = 1,227.66/x
  3. Step 3: Cross multiply
    4,149.38x = 6,224.09 × 1,227.66
  4. Step 4: Simplify right side
    4,149.38x = 7,641,060.19
  5. Step 5: Solve for x
    x = 7,641,060.19/4,149.38
  6. Step 6: Final answer
    x = 1,841.50

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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.