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Finding the Fourth Proportional to 3,827.88, 5,744.70 and 3,067.56

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Solution

The fourth proportional to 3,827.88, 5,744.70 and 3,067.56 is: 4,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.88 : 5,744.70 = 3,067.56 : x
  2. Step 2: Convert to fraction form
    3,827.88/5,744.70 = 3,067.56/x
  3. Step 3: Cross multiply
    3,827.88x = 5,744.70 × 3,067.56
  4. Step 4: Simplify right side
    3,827.88x = 17,622,211.93
  5. Step 5: Solve for x
    x = 17,622,211.93/3,827.88
  6. Step 6: Final answer
    x = 4,603.65

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