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Finding the Fourth Proportional to 3,961.73, 5,942.46 and 1,882.73

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Solution

The fourth proportional to 3,961.73, 5,942.46 and 1,882.73 is: 2,824.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.73 : 5,942.46 = 1,882.73 : x
  2. Step 2: Convert to fraction form
    3,961.73/5,942.46 = 1,882.73/x
  3. Step 3: Cross multiply
    3,961.73x = 5,942.46 × 1,882.73
  4. Step 4: Simplify right side
    3,961.73x = 11,188,047.72
  5. Step 5: Solve for x
    x = 11,188,047.72/3,961.73
  6. Step 6: Final answer
    x = 2,824.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.