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Finding the Fourth Proportional to 4,257.06, 6,375.87 and 3,829.38

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Solution

The fourth proportional to 4,257.06, 6,375.87 and 3,829.38 is: 5,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.06 : 6,375.87 = 3,829.38 : x
  2. Step 2: Convert to fraction form
    4,257.06/6,375.87 = 3,829.38/x
  3. Step 3: Cross multiply
    4,257.06x = 6,375.87 × 3,829.38
  4. Step 4: Simplify right side
    4,257.06x = 24,415,629.06
  5. Step 5: Solve for x
    x = 24,415,629.06/4,257.06
  6. Step 6: Final answer
    x = 5,735.33

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