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Finding the Fourth Proportional to 5,950.22, 8,203.82 and 3,821.99

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Solution

The fourth proportional to 5,950.22, 8,203.82 and 3,821.99 is: 5,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950.22 : 8,203.82 = 3,821.99 : x
  2. Step 2: Convert to fraction form
    5,950.22/8,203.82 = 3,821.99/x
  3. Step 3: Cross multiply
    5,950.22x = 8,203.82 × 3,821.99
  4. Step 4: Simplify right side
    5,950.22x = 31,354,857.87
  5. Step 5: Solve for x
    x = 31,354,857.87/5,950.22
  6. Step 6: Final answer
    x = 5,269.53

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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.