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Finding the Fourth Proportional to 3,838.12, 5,757.46 and 1,644.64

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Solution

The fourth proportional to 3,838.12, 5,757.46 and 1,644.64 is: 2,467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.12 : 5,757.46 = 1,644.64 : x
  2. Step 2: Convert to fraction form
    3,838.12/5,757.46 = 1,644.64/x
  3. Step 3: Cross multiply
    3,838.12x = 5,757.46 × 1,644.64
  4. Step 4: Simplify right side
    3,838.12x = 9,468,949.01
  5. Step 5: Solve for x
    x = 9,468,949.01/3,838.12
  6. Step 6: Final answer
    x = 2,467.08

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