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Finding the Fourth Proportional to 3,834.08, 5,736.80 and 3,211.20

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Solution

The fourth proportional to 3,834.08, 5,736.80 and 3,211.20 is: 4,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.08 : 5,736.80 = 3,211.20 : x
  2. Step 2: Convert to fraction form
    3,834.08/5,736.80 = 3,211.20/x
  3. Step 3: Cross multiply
    3,834.08x = 5,736.80 × 3,211.20
  4. Step 4: Simplify right side
    3,834.08x = 18,422,012.16
  5. Step 5: Solve for x
    x = 18,422,012.16/3,834.08
  6. Step 6: Final answer
    x = 4,804.81

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