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Finding the Fourth Proportional to 3,818.40, 5,728.68 and 2,259.78

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Solution

The fourth proportional to 3,818.40, 5,728.68 and 2,259.78 is: 3,390.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.40 : 5,728.68 = 2,259.78 : x
  2. Step 2: Convert to fraction form
    3,818.40/5,728.68 = 2,259.78/x
  3. Step 3: Cross multiply
    3,818.40x = 5,728.68 × 2,259.78
  4. Step 4: Simplify right side
    3,818.40x = 12,945,556.49
  5. Step 5: Solve for x
    x = 12,945,556.49/3,818.40
  6. Step 6: Final answer
    x = 3,390.31

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