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Finding the Fourth Proportional to 5,189.80, 7,784.44 and 2,069.68

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Solution

The fourth proportional to 5,189.80, 7,784.44 and 2,069.68 is: 3,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.80 : 7,784.44 = 2,069.68 : x
  2. Step 2: Convert to fraction form
    5,189.80/7,784.44 = 2,069.68/x
  3. Step 3: Cross multiply
    5,189.80x = 7,784.44 × 2,069.68
  4. Step 4: Simplify right side
    5,189.80x = 16,111,299.78
  5. Step 5: Solve for x
    x = 16,111,299.78/5,189.80
  6. Step 6: Final answer
    x = 3,104.42

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