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Finding the Fourth Proportional to 3,824.56, 5,736.12 and 1,359.28

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Solution

The fourth proportional to 3,824.56, 5,736.12 and 1,359.28 is: 2,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.56 : 5,736.12 = 1,359.28 : x
  2. Step 2: Convert to fraction form
    3,824.56/5,736.12 = 1,359.28/x
  3. Step 3: Cross multiply
    3,824.56x = 5,736.12 × 1,359.28
  4. Step 4: Simplify right side
    3,824.56x = 7,796,993.19
  5. Step 5: Solve for x
    x = 7,796,993.19/3,824.56
  6. Step 6: Final answer
    x = 2,038.66

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