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Finding the Fourth Proportional to 3,819.42, 5,711.22 and 2,720.43

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Solution

The fourth proportional to 3,819.42, 5,711.22 and 2,720.43 is: 4,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.42 : 5,711.22 = 2,720.43 : x
  2. Step 2: Convert to fraction form
    3,819.42/5,711.22 = 2,720.43/x
  3. Step 3: Cross multiply
    3,819.42x = 5,711.22 × 2,720.43
  4. Step 4: Simplify right side
    3,819.42x = 15,536,974.22
  5. Step 5: Solve for x
    x = 15,536,974.22/3,819.42
  6. Step 6: Final answer
    x = 4,067.89

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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.