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Finding the Fourth Proportional to 5,219.82, 7,829.70 and 1,324.53

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Solution

The fourth proportional to 5,219.82, 7,829.70 and 1,324.53 is: 1,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.82 : 7,829.70 = 1,324.53 : x
  2. Step 2: Convert to fraction form
    5,219.82/7,829.70 = 1,324.53/x
  3. Step 3: Cross multiply
    5,219.82x = 7,829.70 × 1,324.53
  4. Step 4: Simplify right side
    5,219.82x = 10,370,672.54
  5. Step 5: Solve for x
    x = 10,370,672.54/5,219.82
  6. Step 6: Final answer
    x = 1,986.79

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