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Finding the Fourth Proportional to 3,827.68, 5,745.39 and 2,578.12

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Solution

The fourth proportional to 3,827.68, 5,745.39 and 2,578.12 is: 3,869.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.68 : 5,745.39 = 2,578.12 : x
  2. Step 2: Convert to fraction form
    3,827.68/5,745.39 = 2,578.12/x
  3. Step 3: Cross multiply
    3,827.68x = 5,745.39 × 2,578.12
  4. Step 4: Simplify right side
    3,827.68x = 14,812,304.87
  5. Step 5: Solve for x
    x = 14,812,304.87/3,827.68
  6. Step 6: Final answer
    x = 3,869.79

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