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Finding the Fourth Proportional to 4,546.22, 6,819.46 and 1,772.78

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Solution

The fourth proportional to 4,546.22, 6,819.46 and 1,772.78 is: 2,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.22 : 6,819.46 = 1,772.78 : x
  2. Step 2: Convert to fraction form
    4,546.22/6,819.46 = 1,772.78/x
  3. Step 3: Cross multiply
    4,546.22x = 6,819.46 × 1,772.78
  4. Step 4: Simplify right side
    4,546.22x = 12,089,363.77
  5. Step 5: Solve for x
    x = 12,089,363.77/4,546.22
  6. Step 6: Final answer
    x = 2,659.22

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