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Finding the Fourth Proportional to 3,834.87, 5,292.69 and 2,343.66

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Solution

The fourth proportional to 3,834.87, 5,292.69 and 2,343.66 is: 3,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.87 : 5,292.69 = 2,343.66 : x
  2. Step 2: Convert to fraction form
    3,834.87/5,292.69 = 2,343.66/x
  3. Step 3: Cross multiply
    3,834.87x = 5,292.69 × 2,343.66
  4. Step 4: Simplify right side
    3,834.87x = 12,404,265.85
  5. Step 5: Solve for x
    x = 12,404,265.85/3,834.87
  6. Step 6: Final answer
    x = 3,234.60

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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.