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Finding the Fourth Proportional to 3,825.62, 5,738.45 and 1,052.58

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Solution

The fourth proportional to 3,825.62, 5,738.45 and 1,052.58 is: 1,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.62 : 5,738.45 = 1,052.58 : x
  2. Step 2: Convert to fraction form
    3,825.62/5,738.45 = 1,052.58/x
  3. Step 3: Cross multiply
    3,825.62x = 5,738.45 × 1,052.58
  4. Step 4: Simplify right side
    3,825.62x = 6,040,189.12
  5. Step 5: Solve for x
    x = 6,040,189.12/3,825.62
  6. Step 6: Final answer
    x = 1,578.88

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