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Finding the Fourth Proportional to 3,922.75, 5,884.68 and 1,149.62

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Solution

The fourth proportional to 3,922.75, 5,884.68 and 1,149.62 is: 1,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.75 : 5,884.68 = 1,149.62 : x
  2. Step 2: Convert to fraction form
    3,922.75/5,884.68 = 1,149.62/x
  3. Step 3: Cross multiply
    3,922.75x = 5,884.68 × 1,149.62
  4. Step 4: Simplify right side
    3,922.75x = 6,765,140.07
  5. Step 5: Solve for x
    x = 6,765,140.07/3,922.75
  6. Step 6: Final answer
    x = 1,724.59

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