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Finding the Fourth Proportional to 5,205.67, 7,808.40 and 1,309.97

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Solution

The fourth proportional to 5,205.67, 7,808.40 and 1,309.97 is: 1,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.67 : 7,808.40 = 1,309.97 : x
  2. Step 2: Convert to fraction form
    5,205.67/7,808.40 = 1,309.97/x
  3. Step 3: Cross multiply
    5,205.67x = 7,808.40 × 1,309.97
  4. Step 4: Simplify right side
    5,205.67x = 10,228,789.27
  5. Step 5: Solve for x
    x = 10,228,789.27/5,205.67
  6. Step 6: Final answer
    x = 1,964.93

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