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Finding the Fourth Proportional to 5,177.64, 7,144.92 and 2,819.80

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Solution

The fourth proportional to 5,177.64, 7,144.92 and 2,819.80 is: 3,891.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.64 : 7,144.92 = 2,819.80 : x
  2. Step 2: Convert to fraction form
    5,177.64/7,144.92 = 2,819.80/x
  3. Step 3: Cross multiply
    5,177.64x = 7,144.92 × 2,819.80
  4. Step 4: Simplify right side
    5,177.64x = 20,147,245.42
  5. Step 5: Solve for x
    x = 20,147,245.42/5,177.64
  6. Step 6: Final answer
    x = 3,891.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.