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Finding the Fourth Proportional to 5,950.96, 8,212.81 and 3,299.22

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Solution

The fourth proportional to 5,950.96, 8,212.81 and 3,299.22 is: 4,553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950.96 : 8,212.81 = 3,299.22 : x
  2. Step 2: Convert to fraction form
    5,950.96/8,212.81 = 3,299.22/x
  3. Step 3: Cross multiply
    5,950.96x = 8,212.81 × 3,299.22
  4. Step 4: Simplify right side
    5,950.96x = 27,095,867.01
  5. Step 5: Solve for x
    x = 27,095,867.01/5,950.96
  6. Step 6: Final answer
    x = 4,553.19

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