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Finding the Fourth Proportional to 6,578.62, 9,078.46 and 3,890.80

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Solution

The fourth proportional to 6,578.62, 9,078.46 and 3,890.80 is: 5,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.62 : 9,078.46 = 3,890.80 : x
  2. Step 2: Convert to fraction form
    6,578.62/9,078.46 = 3,890.80/x
  3. Step 3: Cross multiply
    6,578.62x = 9,078.46 × 3,890.80
  4. Step 4: Simplify right side
    6,578.62x = 35,322,439.74
  5. Step 5: Solve for x
    x = 35,322,439.74/6,578.62
  6. Step 6: Final answer
    x = 5,369.28

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