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Finding the Fourth Proportional to 4,821.82, 7,222.83 and 3,337.36

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Solution

The fourth proportional to 4,821.82, 7,222.83 and 3,337.36 is: 4,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.82 : 7,222.83 = 3,337.36 : x
  2. Step 2: Convert to fraction form
    4,821.82/7,222.83 = 3,337.36/x
  3. Step 3: Cross multiply
    4,821.82x = 7,222.83 × 3,337.36
  4. Step 4: Simplify right side
    4,821.82x = 24,105,183.93
  5. Step 5: Solve for x
    x = 24,105,183.93/4,821.82
  6. Step 6: Final answer
    x = 4,999.19

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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.