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Finding the Fourth Proportional to 3,908.60, 5,863.42 and 1,275.18

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Solution

The fourth proportional to 3,908.60, 5,863.42 and 1,275.18 is: 1,912.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.60 : 5,863.42 = 1,275.18 : x
  2. Step 2: Convert to fraction form
    3,908.60/5,863.42 = 1,275.18/x
  3. Step 3: Cross multiply
    3,908.60x = 5,863.42 × 1,275.18
  4. Step 4: Simplify right side
    3,908.60x = 7,476,912.73
  5. Step 5: Solve for x
    x = 7,476,912.73/3,908.60
  6. Step 6: Final answer
    x = 1,912.94

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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.