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Finding the Fourth Proportional to 3,942.80, 5,912.13 and 1,169.09

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Solution

The fourth proportional to 3,942.80, 5,912.13 and 1,169.09 is: 1,753.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.80 : 5,912.13 = 1,169.09 : x
  2. Step 2: Convert to fraction form
    3,942.80/5,912.13 = 1,169.09/x
  3. Step 3: Cross multiply
    3,942.80x = 5,912.13 × 1,169.09
  4. Step 4: Simplify right side
    3,942.80x = 6,911,809.06
  5. Step 5: Solve for x
    x = 6,911,809.06/3,942.80
  6. Step 6: Final answer
    x = 1,753.02

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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.