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Finding the Fourth Proportional to 3,827.67, 5,736.02 and 2,180.81

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Solution

The fourth proportional to 3,827.67, 5,736.02 and 2,180.81 is: 3,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.67 : 5,736.02 = 2,180.81 : x
  2. Step 2: Convert to fraction form
    3,827.67/5,736.02 = 2,180.81/x
  3. Step 3: Cross multiply
    3,827.67x = 5,736.02 × 2,180.81
  4. Step 4: Simplify right side
    3,827.67x = 12,509,189.57
  5. Step 5: Solve for x
    x = 12,509,189.57/3,827.67
  6. Step 6: Final answer
    x = 3,268.10

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