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Finding the Fourth Proportional to 3,826.44, 5,738.90 and 1,052.40

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Solution

The fourth proportional to 3,826.44, 5,738.90 and 1,052.40 is: 1,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.44 : 5,738.90 = 1,052.40 : x
  2. Step 2: Convert to fraction form
    3,826.44/5,738.90 = 1,052.40/x
  3. Step 3: Cross multiply
    3,826.44x = 5,738.90 × 1,052.40
  4. Step 4: Simplify right side
    3,826.44x = 6,039,592.30
  5. Step 5: Solve for x
    x = 6,039,592.30/3,826.44
  6. Step 6: Final answer
    x = 1,578.38

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