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Finding the Fourth Proportional to 5,198.23, 7,786.04 and 3,224.34

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Solution

The fourth proportional to 5,198.23, 7,786.04 and 3,224.34 is: 4,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.23 : 7,786.04 = 3,224.34 : x
  2. Step 2: Convert to fraction form
    5,198.23/7,786.04 = 3,224.34/x
  3. Step 3: Cross multiply
    5,198.23x = 7,786.04 × 3,224.34
  4. Step 4: Simplify right side
    5,198.23x = 25,104,842.23
  5. Step 5: Solve for x
    x = 25,104,842.23/5,198.23
  6. Step 6: Final answer
    x = 4,829.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.