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Finding the Fourth Proportional to 5,469.22, 8,205.87 and 3,279.52

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Solution

The fourth proportional to 5,469.22, 8,205.87 and 3,279.52 is: 4,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.22 : 8,205.87 = 3,279.52 : x
  2. Step 2: Convert to fraction form
    5,469.22/8,205.87 = 3,279.52/x
  3. Step 3: Cross multiply
    5,469.22x = 8,205.87 × 3,279.52
  4. Step 4: Simplify right side
    5,469.22x = 26,911,314.78
  5. Step 5: Solve for x
    x = 26,911,314.78/5,469.22
  6. Step 6: Final answer
    x = 4,920.50

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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.