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Finding the Fourth Proportional to 5,222.82, 7,204.77 and 4,229.22

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Solution

The fourth proportional to 5,222.82, 7,204.77 and 4,229.22 is: 5,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.82 : 7,204.77 = 4,229.22 : x
  2. Step 2: Convert to fraction form
    5,222.82/7,204.77 = 4,229.22/x
  3. Step 3: Cross multiply
    5,222.82x = 7,204.77 × 4,229.22
  4. Step 4: Simplify right side
    5,222.82x = 30,470,557.38
  5. Step 5: Solve for x
    x = 30,470,557.38/5,222.82
  6. Step 6: Final answer
    x = 5,834.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.