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Finding the Fourth Proportional to 5,221.70, 7,834.60 and 2,297.95

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Solution

The fourth proportional to 5,221.70, 7,834.60 and 2,297.95 is: 3,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.70 : 7,834.60 = 2,297.95 : x
  2. Step 2: Convert to fraction form
    5,221.70/7,834.60 = 2,297.95/x
  3. Step 3: Cross multiply
    5,221.70x = 7,834.60 × 2,297.95
  4. Step 4: Simplify right side
    5,221.70x = 18,003,520.25
  5. Step 5: Solve for x
    x = 18,003,520.25/5,221.70
  6. Step 6: Final answer
    x = 3,447.83

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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.