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Finding the Fourth Proportional to 5,504, 8,255.04 and 2,216.24

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Solution

The fourth proportional to 5,504, 8,255.04 and 2,216.24 is: 3,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504 : 8,255.04 = 2,216.24 : x
  2. Step 2: Convert to fraction form
    5,504/8,255.04 = 2,216.24/x
  3. Step 3: Cross multiply
    5,504x = 8,255.04 × 2,216.24
  4. Step 4: Simplify right side
    5,504x = 18,295,149.85
  5. Step 5: Solve for x
    x = 18,295,149.85/5,504
  6. Step 6: Final answer
    x = 3,323.97

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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.