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Finding the Fourth Proportional to 2,857.56, 3,939.82 and 2,431.76

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Solution

The fourth proportional to 2,857.56, 3,939.82 and 2,431.76 is: 3,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.56 : 3,939.82 = 2,431.76 : x
  2. Step 2: Convert to fraction form
    2,857.56/3,939.82 = 2,431.76/x
  3. Step 3: Cross multiply
    2,857.56x = 3,939.82 × 2,431.76
  4. Step 4: Simplify right side
    2,857.56x = 9,580,696.68
  5. Step 5: Solve for x
    x = 9,580,696.68/2,857.56
  6. Step 6: Final answer
    x = 3,352.75

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