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Finding the Fourth Proportional to 3,826.32, 5,738.52 and 2,448.24

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Solution

The fourth proportional to 3,826.32, 5,738.52 and 2,448.24 is: 3,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.32 : 5,738.52 = 2,448.24 : x
  2. Step 2: Convert to fraction form
    3,826.32/5,738.52 = 2,448.24/x
  3. Step 3: Cross multiply
    3,826.32x = 5,738.52 × 2,448.24
  4. Step 4: Simplify right side
    3,826.32x = 14,049,274.20
  5. Step 5: Solve for x
    x = 14,049,274.20/3,826.32
  6. Step 6: Final answer
    x = 3,671.75

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