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Finding the Fourth Proportional to 3,842.56, 5,763.84 and 2,546.56

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Solution

The fourth proportional to 3,842.56, 5,763.84 and 2,546.56 is: 3,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.56 : 5,763.84 = 2,546.56 : x
  2. Step 2: Convert to fraction form
    3,842.56/5,763.84 = 2,546.56/x
  3. Step 3: Cross multiply
    3,842.56x = 5,763.84 × 2,546.56
  4. Step 4: Simplify right side
    3,842.56x = 14,677,964.39
  5. Step 5: Solve for x
    x = 14,677,964.39/3,842.56
  6. Step 6: Final answer
    x = 3,819.84

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