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Finding the Fourth Proportional to 4,847.22, 7,269.78 and 2,213.98

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Solution

The fourth proportional to 4,847.22, 7,269.78 and 2,213.98 is: 3,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.22 : 7,269.78 = 2,213.98 : x
  2. Step 2: Convert to fraction form
    4,847.22/7,269.78 = 2,213.98/x
  3. Step 3: Cross multiply
    4,847.22x = 7,269.78 × 2,213.98
  4. Step 4: Simplify right side
    4,847.22x = 16,095,147.52
  5. Step 5: Solve for x
    x = 16,095,147.52/4,847.22
  6. Step 6: Final answer
    x = 3,320.49

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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.