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Finding the Fourth Proportional to 5,189.16, 7,789.14 and 3,469.80

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Solution

The fourth proportional to 5,189.16, 7,789.14 and 3,469.80 is: 5,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.16 : 7,789.14 = 3,469.80 : x
  2. Step 2: Convert to fraction form
    5,189.16/7,789.14 = 3,469.80/x
  3. Step 3: Cross multiply
    5,189.16x = 7,789.14 × 3,469.80
  4. Step 4: Simplify right side
    5,189.16x = 27,026,757.97
  5. Step 5: Solve for x
    x = 27,026,757.97/5,189.16
  6. Step 6: Final answer
    x = 5,208.31

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