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Finding the Fourth Proportional to 5,255.70, 7,876.56 and 1,965.48

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Solution

The fourth proportional to 5,255.70, 7,876.56 and 1,965.48 is: 2,945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.70 : 7,876.56 = 1,965.48 : x
  2. Step 2: Convert to fraction form
    5,255.70/7,876.56 = 1,965.48/x
  3. Step 3: Cross multiply
    5,255.70x = 7,876.56 × 1,965.48
  4. Step 4: Simplify right side
    5,255.70x = 15,481,221.15
  5. Step 5: Solve for x
    x = 15,481,221.15/5,255.70
  6. Step 6: Final answer
    x = 2,945.61

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