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Finding the Fourth Proportional to 3,974.70, 5,962.11 and 1,201.40

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Solution

The fourth proportional to 3,974.70, 5,962.11 and 1,201.40 is: 1,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.70 : 5,962.11 = 1,201.40 : x
  2. Step 2: Convert to fraction form
    3,974.70/5,962.11 = 1,201.40/x
  3. Step 3: Cross multiply
    3,974.70x = 5,962.11 × 1,201.40
  4. Step 4: Simplify right side
    3,974.70x = 7,162,843.14
  5. Step 5: Solve for x
    x = 7,162,843.14/3,974.70
  6. Step 6: Final answer
    x = 1,802.11

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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.