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Finding the Fourth Proportional to 5,213.23, 7,802.89 and 3,826.22

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Solution

The fourth proportional to 5,213.23, 7,802.89 and 3,826.22 is: 5,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.23 : 7,802.89 = 3,826.22 : x
  2. Step 2: Convert to fraction form
    5,213.23/7,802.89 = 3,826.22/x
  3. Step 3: Cross multiply
    5,213.23x = 7,802.89 × 3,826.22
  4. Step 4: Simplify right side
    5,213.23x = 29,855,525.20
  5. Step 5: Solve for x
    x = 29,855,525.20/5,213.23
  6. Step 6: Final answer
    x = 5,726.88

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