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Finding the Fourth Proportional to 3,882.22, 5,819.84 and 1,415.32

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Solution

The fourth proportional to 3,882.22, 5,819.84 and 1,415.32 is: 2,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.22 : 5,819.84 = 1,415.32 : x
  2. Step 2: Convert to fraction form
    3,882.22/5,819.84 = 1,415.32/x
  3. Step 3: Cross multiply
    3,882.22x = 5,819.84 × 1,415.32
  4. Step 4: Simplify right side
    3,882.22x = 8,236,914.32
  5. Step 5: Solve for x
    x = 8,236,914.32/3,882.22
  6. Step 6: Final answer
    x = 2,121.70

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