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Finding the Fourth Proportional to 5,206.95, 7,813.47 and 1,922.33

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Solution

The fourth proportional to 5,206.95, 7,813.47 and 1,922.33 is: 2,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.95 : 7,813.47 = 1,922.33 : x
  2. Step 2: Convert to fraction form
    5,206.95/7,813.47 = 1,922.33/x
  3. Step 3: Cross multiply
    5,206.95x = 7,813.47 × 1,922.33
  4. Step 4: Simplify right side
    5,206.95x = 15,020,067.79
  5. Step 5: Solve for x
    x = 15,020,067.79/5,206.95
  6. Step 6: Final answer
    x = 2,884.62

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