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Finding the Fourth Proportional to 5,279.52, 7,909.20 and 3,200.16

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Solution

The fourth proportional to 5,279.52, 7,909.20 and 3,200.16 is: 4,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.52 : 7,909.20 = 3,200.16 : x
  2. Step 2: Convert to fraction form
    5,279.52/7,909.20 = 3,200.16/x
  3. Step 3: Cross multiply
    5,279.52x = 7,909.20 × 3,200.16
  4. Step 4: Simplify right side
    5,279.52x = 25,310,705.47
  5. Step 5: Solve for x
    x = 25,310,705.47/5,279.52
  6. Step 6: Final answer
    x = 4,794.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.