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Finding the Fourth Proportional to 3,827.91, 5,734.67 and 3,231.75

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Solution

The fourth proportional to 3,827.91, 5,734.67 and 3,231.75 is: 4,841.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.91 : 5,734.67 = 3,231.75 : x
  2. Step 2: Convert to fraction form
    3,827.91/5,734.67 = 3,231.75/x
  3. Step 3: Cross multiply
    3,827.91x = 5,734.67 × 3,231.75
  4. Step 4: Simplify right side
    3,827.91x = 18,533,003.61
  5. Step 5: Solve for x
    x = 18,533,003.61/3,827.91
  6. Step 6: Final answer
    x = 4,841.55

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