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Finding the Fourth Proportional to 3,824.72, 5,735.64 and 1,632.32

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Solution

The fourth proportional to 3,824.72, 5,735.64 and 1,632.32 is: 2,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.72 : 5,735.64 = 1,632.32 : x
  2. Step 2: Convert to fraction form
    3,824.72/5,735.64 = 1,632.32/x
  3. Step 3: Cross multiply
    3,824.72x = 5,735.64 × 1,632.32
  4. Step 4: Simplify right side
    3,824.72x = 9,362,399.88
  5. Step 5: Solve for x
    x = 9,362,399.88/3,824.72
  6. Step 6: Final answer
    x = 2,447.87

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