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Finding the Fourth Proportional to 3,857.82, 5,774.31 and 2,542.65

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Solution

The fourth proportional to 3,857.82, 5,774.31 and 2,542.65 is: 3,805.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.82 : 5,774.31 = 2,542.65 : x
  2. Step 2: Convert to fraction form
    3,857.82/5,774.31 = 2,542.65/x
  3. Step 3: Cross multiply
    3,857.82x = 5,774.31 × 2,542.65
  4. Step 4: Simplify right side
    3,857.82x = 14,682,049.32
  5. Step 5: Solve for x
    x = 14,682,049.32/3,857.82
  6. Step 6: Final answer
    x = 3,805.79

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