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Finding the Fourth Proportional to 4,813.50, 7,220.22 and 3,845.73

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Solution

The fourth proportional to 4,813.50, 7,220.22 and 3,845.73 is: 5,768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.50 : 7,220.22 = 3,845.73 : x
  2. Step 2: Convert to fraction form
    4,813.50/7,220.22 = 3,845.73/x
  3. Step 3: Cross multiply
    4,813.50x = 7,220.22 × 3,845.73
  4. Step 4: Simplify right side
    4,813.50x = 27,767,016.66
  5. Step 5: Solve for x
    x = 27,767,016.66/4,813.50
  6. Step 6: Final answer
    x = 5,768.57

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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.