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Finding the Fourth Proportional to 5,228.24, 7,842.32 and 1,279.52

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Solution

The fourth proportional to 5,228.24, 7,842.32 and 1,279.52 is: 1,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.24 : 7,842.32 = 1,279.52 : x
  2. Step 2: Convert to fraction form
    5,228.24/7,842.32 = 1,279.52/x
  3. Step 3: Cross multiply
    5,228.24x = 7,842.32 × 1,279.52
  4. Step 4: Simplify right side
    5,228.24x = 10,034,359.68
  5. Step 5: Solve for x
    x = 10,034,359.68/5,228.24
  6. Step 6: Final answer
    x = 1,919.26

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