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Finding the Fourth Proportional to 3,789.72, 5,686.20 and 2,143.80

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Solution

The fourth proportional to 3,789.72, 5,686.20 and 2,143.80 is: 3,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.72 : 5,686.20 = 2,143.80 : x
  2. Step 2: Convert to fraction form
    3,789.72/5,686.20 = 2,143.80/x
  3. Step 3: Cross multiply
    3,789.72x = 5,686.20 × 2,143.80
  4. Step 4: Simplify right side
    3,789.72x = 12,190,075.56
  5. Step 5: Solve for x
    x = 12,190,075.56/3,789.72
  6. Step 6: Final answer
    x = 3,216.62

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