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Finding the Fourth Proportional to 3,425.46, 5,138.27 and 1,578.12

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Solution

The fourth proportional to 3,425.46, 5,138.27 and 1,578.12 is: 2,367.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.46 : 5,138.27 = 1,578.12 : x
  2. Step 2: Convert to fraction form
    3,425.46/5,138.27 = 1,578.12/x
  3. Step 3: Cross multiply
    3,425.46x = 5,138.27 × 1,578.12
  4. Step 4: Simplify right side
    3,425.46x = 8,108,806.65
  5. Step 5: Solve for x
    x = 8,108,806.65/3,425.46
  6. Step 6: Final answer
    x = 2,367.22

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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.