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Finding the Fourth Proportional to 3,974.12, 5,961.23 and 1,200.82

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Solution

The fourth proportional to 3,974.12, 5,961.23 and 1,200.82 is: 1,801.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.12 : 5,961.23 = 1,200.82 : x
  2. Step 2: Convert to fraction form
    3,974.12/5,961.23 = 1,200.82/x
  3. Step 3: Cross multiply
    3,974.12x = 5,961.23 × 1,200.82
  4. Step 4: Simplify right side
    3,974.12x = 7,158,343.30
  5. Step 5: Solve for x
    x = 7,158,343.30/3,974.12
  6. Step 6: Final answer
    x = 1,801.24

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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.