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Finding the Fourth Proportional to 3,982.56, 5,969.28 and 2,034.80

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Solution

The fourth proportional to 3,982.56, 5,969.28 and 2,034.80 is: 3,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.56 : 5,969.28 = 2,034.80 : x
  2. Step 2: Convert to fraction form
    3,982.56/5,969.28 = 2,034.80/x
  3. Step 3: Cross multiply
    3,982.56x = 5,969.28 × 2,034.80
  4. Step 4: Simplify right side
    3,982.56x = 12,146,290.94
  5. Step 5: Solve for x
    x = 12,146,290.94/3,982.56
  6. Step 6: Final answer
    x = 3,049.87

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