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Finding the Fourth Proportional to 3,974.55, 5,961.86 and 1,201.24

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Solution

The fourth proportional to 3,974.55, 5,961.86 and 1,201.24 is: 1,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.55 : 5,961.86 = 1,201.24 : x
  2. Step 2: Convert to fraction form
    3,974.55/5,961.86 = 1,201.24/x
  3. Step 3: Cross multiply
    3,974.55x = 5,961.86 × 1,201.24
  4. Step 4: Simplify right side
    3,974.55x = 7,161,624.71
  5. Step 5: Solve for x
    x = 7,161,624.71/3,974.55
  6. Step 6: Final answer
    x = 1,801.87

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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.