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Finding the Fourth Proportional to 3,922.74, 5,884.16 and 1,149.47

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Solution

The fourth proportional to 3,922.74, 5,884.16 and 1,149.47 is: 1,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.74 : 5,884.16 = 1,149.47 : x
  2. Step 2: Convert to fraction form
    3,922.74/5,884.16 = 1,149.47/x
  3. Step 3: Cross multiply
    3,922.74x = 5,884.16 × 1,149.47
  4. Step 4: Simplify right side
    3,922.74x = 6,763,684.60
  5. Step 5: Solve for x
    x = 6,763,684.60/3,922.74
  6. Step 6: Final answer
    x = 1,724.22

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