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Finding the Fourth Proportional to 5,198.54, 7,799.82 and 2,277.26

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Solution

The fourth proportional to 5,198.54, 7,799.82 and 2,277.26 is: 3,416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.54 : 7,799.82 = 2,277.26 : x
  2. Step 2: Convert to fraction form
    5,198.54/7,799.82 = 2,277.26/x
  3. Step 3: Cross multiply
    5,198.54x = 7,799.82 × 2,277.26
  4. Step 4: Simplify right side
    5,198.54x = 17,762,218.09
  5. Step 5: Solve for x
    x = 17,762,218.09/5,198.54
  6. Step 6: Final answer
    x = 3,416.77

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