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Finding the Fourth Proportional to 3,214.74, 4,819.78 and 2,172.16

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Solution

The fourth proportional to 3,214.74, 4,819.78 and 2,172.16 is: 3,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.74 : 4,819.78 = 2,172.16 : x
  2. Step 2: Convert to fraction form
    3,214.74/4,819.78 = 2,172.16/x
  3. Step 3: Cross multiply
    3,214.74x = 4,819.78 × 2,172.16
  4. Step 4: Simplify right side
    3,214.74x = 10,469,333.32
  5. Step 5: Solve for x
    x = 10,469,333.32/3,214.74
  6. Step 6: Final answer
    x = 3,256.67

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