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Finding the Fourth Proportional to 3,704.22, 5,107.41 and 2,375.82

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Solution

The fourth proportional to 3,704.22, 5,107.41 and 2,375.82 is: 3,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.22 : 5,107.41 = 2,375.82 : x
  2. Step 2: Convert to fraction form
    3,704.22/5,107.41 = 2,375.82/x
  3. Step 3: Cross multiply
    3,704.22x = 5,107.41 × 2,375.82
  4. Step 4: Simplify right side
    3,704.22x = 12,134,286.83
  5. Step 5: Solve for x
    x = 12,134,286.83/3,704.22
  6. Step 6: Final answer
    x = 3,275.80

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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.