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Finding the Fourth Proportional to 3,982.38, 5,974.32 and 1,902.55

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Solution

The fourth proportional to 3,982.38, 5,974.32 and 1,902.55 is: 2,854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.38 : 5,974.32 = 1,902.55 : x
  2. Step 2: Convert to fraction form
    3,982.38/5,974.32 = 1,902.55/x
  3. Step 3: Cross multiply
    3,982.38x = 5,974.32 × 1,902.55
  4. Step 4: Simplify right side
    3,982.38x = 11,366,412.64
  5. Step 5: Solve for x
    x = 11,366,412.64/3,982.38
  6. Step 6: Final answer
    x = 2,854.18

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