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Finding the Fourth Proportional to 3,827.78, 5,736.19 and 2,180.92

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Solution

The fourth proportional to 3,827.78, 5,736.19 and 2,180.92 is: 3,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.78 : 5,736.19 = 2,180.92 : x
  2. Step 2: Convert to fraction form
    3,827.78/5,736.19 = 2,180.92/x
  3. Step 3: Cross multiply
    3,827.78x = 5,736.19 × 2,180.92
  4. Step 4: Simplify right side
    3,827.78x = 12,510,160.59
  5. Step 5: Solve for x
    x = 12,510,160.59/3,827.78
  6. Step 6: Final answer
    x = 3,268.25

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