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Finding the Fourth Proportional to 3,829.23, 5,744.25 and 1,364.28

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Solution

The fourth proportional to 3,829.23, 5,744.25 and 1,364.28 is: 2,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.23 : 5,744.25 = 1,364.28 : x
  2. Step 2: Convert to fraction form
    3,829.23/5,744.25 = 1,364.28/x
  3. Step 3: Cross multiply
    3,829.23x = 5,744.25 × 1,364.28
  4. Step 4: Simplify right side
    3,829.23x = 7,836,765.39
  5. Step 5: Solve for x
    x = 7,836,765.39/3,829.23
  6. Step 6: Final answer
    x = 2,046.56

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