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Finding the Fourth Proportional to 3,809.20, 5,704.08 and 3,375.04

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Solution

The fourth proportional to 3,809.20, 5,704.08 and 3,375.04 is: 5,053.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.20 : 5,704.08 = 3,375.04 : x
  2. Step 2: Convert to fraction form
    3,809.20/5,704.08 = 3,375.04/x
  3. Step 3: Cross multiply
    3,809.20x = 5,704.08 × 3,375.04
  4. Step 4: Simplify right side
    3,809.20x = 19,251,498.16
  5. Step 5: Solve for x
    x = 19,251,498.16/3,809.20
  6. Step 6: Final answer
    x = 5,053.95

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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.