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Finding the Fourth Proportional to 3,840.78, 5,762.67 and 3,107.25

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Solution

The fourth proportional to 3,840.78, 5,762.67 and 3,107.25 is: 4,662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.78 : 5,762.67 = 3,107.25 : x
  2. Step 2: Convert to fraction form
    3,840.78/5,762.67 = 3,107.25/x
  3. Step 3: Cross multiply
    3,840.78x = 5,762.67 × 3,107.25
  4. Step 4: Simplify right side
    3,840.78x = 17,906,056.36
  5. Step 5: Solve for x
    x = 17,906,056.36/3,840.78
  6. Step 6: Final answer
    x = 4,662.09

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