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Finding the Fourth Proportional to 3,822.80, 5,728.80 and 2,827.85

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Solution

The fourth proportional to 3,822.80, 5,728.80 and 2,827.85 is: 4,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.80 : 5,728.80 = 2,827.85 : x
  2. Step 2: Convert to fraction form
    3,822.80/5,728.80 = 2,827.85/x
  3. Step 3: Cross multiply
    3,822.80x = 5,728.80 × 2,827.85
  4. Step 4: Simplify right side
    3,822.80x = 16,200,187.08
  5. Step 5: Solve for x
    x = 16,200,187.08/3,822.80
  6. Step 6: Final answer
    x = 4,237.78

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