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Finding the Fourth Proportional to 5,191.57, 7,784.92 and 2,272.33

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Solution

The fourth proportional to 5,191.57, 7,784.92 and 2,272.33 is: 3,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.57 : 7,784.92 = 2,272.33 : x
  2. Step 2: Convert to fraction form
    5,191.57/7,784.92 = 2,272.33/x
  3. Step 3: Cross multiply
    5,191.57x = 7,784.92 × 2,272.33
  4. Step 4: Simplify right side
    5,191.57x = 17,689,907.26
  5. Step 5: Solve for x
    x = 17,689,907.26/5,191.57
  6. Step 6: Final answer
    x = 3,407.43

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