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Finding the Fourth Proportional to 3,213.28, 4,806.72 and 2,565.28

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Solution

The fourth proportional to 3,213.28, 4,806.72 and 2,565.28 is: 3,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.28 : 4,806.72 = 2,565.28 : x
  2. Step 2: Convert to fraction form
    3,213.28/4,806.72 = 2,565.28/x
  3. Step 3: Cross multiply
    3,213.28x = 4,806.72 × 2,565.28
  4. Step 4: Simplify right side
    3,213.28x = 12,330,582.68
  5. Step 5: Solve for x
    x = 12,330,582.68/3,213.28
  6. Step 6: Final answer
    x = 3,837.38

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