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Finding the Fourth Proportional to 5,198.82, 7,801.86 and 2,277.96

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Solution

The fourth proportional to 5,198.82, 7,801.86 and 2,277.96 is: 3,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.82 : 7,801.86 = 2,277.96 : x
  2. Step 2: Convert to fraction form
    5,198.82/7,801.86 = 2,277.96/x
  3. Step 3: Cross multiply
    5,198.82x = 7,801.86 × 2,277.96
  4. Step 4: Simplify right side
    5,198.82x = 17,772,325.01
  5. Step 5: Solve for x
    x = 17,772,325.01/5,198.82
  6. Step 6: Final answer
    x = 3,418.53

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