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Finding the Fourth Proportional to 3,891.20, 5,834.05 and 1,942.02

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Solution

The fourth proportional to 3,891.20, 5,834.05 and 1,942.02 is: 2,911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.20 : 5,834.05 = 1,942.02 : x
  2. Step 2: Convert to fraction form
    3,891.20/5,834.05 = 1,942.02/x
  3. Step 3: Cross multiply
    3,891.20x = 5,834.05 × 1,942.02
  4. Step 4: Simplify right side
    3,891.20x = 11,329,836.93
  5. Step 5: Solve for x
    x = 11,329,836.93/3,891.20
  6. Step 6: Final answer
    x = 2,911.66

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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.