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Finding the Fourth Proportional to 3,546.74, 5,311.59 and 1,982.90

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Solution

The fourth proportional to 3,546.74, 5,311.59 and 1,982.90 is: 2,969.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.74 : 5,311.59 = 1,982.90 : x
  2. Step 2: Convert to fraction form
    3,546.74/5,311.59 = 1,982.90/x
  3. Step 3: Cross multiply
    3,546.74x = 5,311.59 × 1,982.90
  4. Step 4: Simplify right side
    3,546.74x = 10,532,351.81
  5. Step 5: Solve for x
    x = 10,532,351.81/3,546.74
  6. Step 6: Final answer
    x = 2,969.59

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