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Finding the Fourth Proportional to 3,998.76, 5,982.12 and 3,456.78

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Solution

The fourth proportional to 3,998.76, 5,982.12 and 3,456.78 is: 5,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.76 : 5,982.12 = 3,456.78 : x
  2. Step 2: Convert to fraction form
    3,998.76/5,982.12 = 3,456.78/x
  3. Step 3: Cross multiply
    3,998.76x = 5,982.12 × 3,456.78
  4. Step 4: Simplify right side
    3,998.76x = 20,678,900.69
  5. Step 5: Solve for x
    x = 20,678,900.69/3,998.76
  6. Step 6: Final answer
    x = 5,171.33

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