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Finding the Fourth Proportional to 3,765.28, 5,648.16 and 2,462.80

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Solution

The fourth proportional to 3,765.28, 5,648.16 and 2,462.80 is: 3,694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.28 : 5,648.16 = 2,462.80 : x
  2. Step 2: Convert to fraction form
    3,765.28/5,648.16 = 2,462.80/x
  3. Step 3: Cross multiply
    3,765.28x = 5,648.16 × 2,462.80
  4. Step 4: Simplify right side
    3,765.28x = 13,910,288.45
  5. Step 5: Solve for x
    x = 13,910,288.45/3,765.28
  6. Step 6: Final answer
    x = 3,694.36

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