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Finding the Fourth Proportional to 3,834.73, 5,292.11 and 2,342.40

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Solution

The fourth proportional to 3,834.73, 5,292.11 and 2,342.40 is: 3,232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.73 : 5,292.11 = 2,342.40 : x
  2. Step 2: Convert to fraction form
    3,834.73/5,292.11 = 2,342.40/x
  3. Step 3: Cross multiply
    3,834.73x = 5,292.11 × 2,342.40
  4. Step 4: Simplify right side
    3,834.73x = 12,396,247.65
  5. Step 5: Solve for x
    x = 12,396,247.65/3,834.73
  6. Step 6: Final answer
    x = 3,232.63

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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.