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Finding the Fourth Proportional to 5,520.50, 8,234.38 and 5,022.26

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Solution

The fourth proportional to 5,520.50, 8,234.38 and 5,022.26 is: 7,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,520.50 : 8,234.38 = 5,022.26 : x
  2. Step 2: Convert to fraction form
    5,520.50/8,234.38 = 5,022.26/x
  3. Step 3: Cross multiply
    5,520.50x = 8,234.38 × 5,022.26
  4. Step 4: Simplify right side
    5,520.50x = 41,355,205.33
  5. Step 5: Solve for x
    x = 41,355,205.33/5,520.50
  6. Step 6: Final answer
    x = 7,491.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.