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Finding the Fourth Proportional to 3,974.48, 5,961.88 and 1,342.04

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Solution

The fourth proportional to 3,974.48, 5,961.88 and 1,342.04 is: 2,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.48 : 5,961.88 = 1,342.04 : x
  2. Step 2: Convert to fraction form
    3,974.48/5,961.88 = 1,342.04/x
  3. Step 3: Cross multiply
    3,974.48x = 5,961.88 × 1,342.04
  4. Step 4: Simplify right side
    3,974.48x = 8,001,048.27
  5. Step 5: Solve for x
    x = 8,001,048.27/3,974.48
  6. Step 6: Final answer
    x = 2,013.10

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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.