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Finding the Fourth Proportional to 3,849.54, 5,772.78 and 1,383.60

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Solution

The fourth proportional to 3,849.54, 5,772.78 and 1,383.60 is: 2,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.54 : 5,772.78 = 1,383.60 : x
  2. Step 2: Convert to fraction form
    3,849.54/5,772.78 = 1,383.60/x
  3. Step 3: Cross multiply
    3,849.54x = 5,772.78 × 1,383.60
  4. Step 4: Simplify right side
    3,849.54x = 7,987,218.41
  5. Step 5: Solve for x
    x = 7,987,218.41/3,849.54
  6. Step 6: Final answer
    x = 2,074.85

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