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Finding the Fourth Proportional to 3,871.40, 5,814.24 and 2,023.76

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Solution

The fourth proportional to 3,871.40, 5,814.24 and 2,023.76 is: 3,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.40 : 5,814.24 = 2,023.76 : x
  2. Step 2: Convert to fraction form
    3,871.40/5,814.24 = 2,023.76/x
  3. Step 3: Cross multiply
    3,871.40x = 5,814.24 × 2,023.76
  4. Step 4: Simplify right side
    3,871.40x = 11,766,626.34
  5. Step 5: Solve for x
    x = 11,766,626.34/3,871.40
  6. Step 6: Final answer
    x = 3,039.37

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