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Finding the Fourth Proportional to 5,198.82, 7,786.13 and 4,025.05

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Solution

The fourth proportional to 5,198.82, 7,786.13 and 4,025.05 is: 6,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.82 : 7,786.13 = 4,025.05 : x
  2. Step 2: Convert to fraction form
    5,198.82/7,786.13 = 4,025.05/x
  3. Step 3: Cross multiply
    5,198.82x = 7,786.13 × 4,025.05
  4. Step 4: Simplify right side
    5,198.82x = 31,339,544.86
  5. Step 5: Solve for x
    x = 31,339,544.86/5,198.82
  6. Step 6: Final answer
    x = 6,028.20

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