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Finding the Fourth Proportional to 3,567, 5,351.03 and 1,227.61

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Solution

The fourth proportional to 3,567, 5,351.03 and 1,227.61 is: 1,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567 : 5,351.03 = 1,227.61 : x
  2. Step 2: Convert to fraction form
    3,567/5,351.03 = 1,227.61/x
  3. Step 3: Cross multiply
    3,567x = 5,351.03 × 1,227.61
  4. Step 4: Simplify right side
    3,567x = 6,568,945.05
  5. Step 5: Solve for x
    x = 6,568,945.05/3,567
  6. Step 6: Final answer
    x = 1,841.59

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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.