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Finding the Fourth Proportional to 5,219.80, 7,829.42 and 1,521.92

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Solution

The fourth proportional to 5,219.80, 7,829.42 and 1,521.92 is: 2,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.80 : 7,829.42 = 1,521.92 : x
  2. Step 2: Convert to fraction form
    5,219.80/7,829.42 = 1,521.92/x
  3. Step 3: Cross multiply
    5,219.80x = 7,829.42 × 1,521.92
  4. Step 4: Simplify right side
    5,219.80x = 11,915,750.89
  5. Step 5: Solve for x
    x = 11,915,750.89/5,219.80
  6. Step 6: Final answer
    x = 2,282.80

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