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Finding the Fourth Proportional to 5,192.16, 7,789.72 and 2,560.44

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Solution

The fourth proportional to 5,192.16, 7,789.72 and 2,560.44 is: 3,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.16 : 7,789.72 = 2,560.44 : x
  2. Step 2: Convert to fraction form
    5,192.16/7,789.72 = 2,560.44/x
  3. Step 3: Cross multiply
    5,192.16x = 7,789.72 × 2,560.44
  4. Step 4: Simplify right side
    5,192.16x = 19,945,110.68
  5. Step 5: Solve for x
    x = 19,945,110.68/5,192.16
  6. Step 6: Final answer
    x = 3,841.39

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