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Finding the Fourth Proportional to 5,194.54, 7,791.84 and 1,298.80

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Solution

The fourth proportional to 5,194.54, 7,791.84 and 1,298.80 is: 1,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.54 : 7,791.84 = 1,298.80 : x
  2. Step 2: Convert to fraction form
    5,194.54/7,791.84 = 1,298.80/x
  3. Step 3: Cross multiply
    5,194.54x = 7,791.84 × 1,298.80
  4. Step 4: Simplify right side
    5,194.54x = 10,120,041.79
  5. Step 5: Solve for x
    x = 10,120,041.79/5,194.54
  6. Step 6: Final answer
    x = 1,948.21

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