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Finding the Fourth Proportional to 3,840.75, 5,757.57 and 1,865.16

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Solution

The fourth proportional to 3,840.75, 5,757.57 and 1,865.16 is: 2,796.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.75 : 5,757.57 = 1,865.16 : x
  2. Step 2: Convert to fraction form
    3,840.75/5,757.57 = 1,865.16/x
  3. Step 3: Cross multiply
    3,840.75x = 5,757.57 × 1,865.16
  4. Step 4: Simplify right side
    3,840.75x = 10,738,789.26
  5. Step 5: Solve for x
    x = 10,738,789.26/3,840.75
  6. Step 6: Final answer
    x = 2,796.01

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