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Finding the Fourth Proportional to 3,102.56, 4,640.88 and 2,799.60

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Solution

The fourth proportional to 3,102.56, 4,640.88 and 2,799.60 is: 4,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.56 : 4,640.88 = 2,799.60 : x
  2. Step 2: Convert to fraction form
    3,102.56/4,640.88 = 2,799.60/x
  3. Step 3: Cross multiply
    3,102.56x = 4,640.88 × 2,799.60
  4. Step 4: Simplify right side
    3,102.56x = 12,992,607.65
  5. Step 5: Solve for x
    x = 12,992,607.65/3,102.56
  6. Step 6: Final answer
    x = 4,187.71

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