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Finding the Fourth Proportional to 5,748.56, 7,932.80 and 3,230.64

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Solution

The fourth proportional to 5,748.56, 7,932.80 and 3,230.64 is: 4,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.56 : 7,932.80 = 3,230.64 : x
  2. Step 2: Convert to fraction form
    5,748.56/7,932.80 = 3,230.64/x
  3. Step 3: Cross multiply
    5,748.56x = 7,932.80 × 3,230.64
  4. Step 4: Simplify right side
    5,748.56x = 25,628,020.99
  5. Step 5: Solve for x
    x = 25,628,020.99/5,748.56
  6. Step 6: Final answer
    x = 4,458.16

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