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Finding the Fourth Proportional to 5,982.81, 8,974.37 and 1,822.80

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Solution

The fourth proportional to 5,982.81, 8,974.37 and 1,822.80 is: 2,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.81 : 8,974.37 = 1,822.80 : x
  2. Step 2: Convert to fraction form
    5,982.81/8,974.37 = 1,822.80/x
  3. Step 3: Cross multiply
    5,982.81x = 8,974.37 × 1,822.80
  4. Step 4: Simplify right side
    5,982.81x = 16,358,514.72
  5. Step 5: Solve for x
    x = 16,358,514.72/5,982.81
  6. Step 6: Final answer
    x = 2,734.25

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