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Finding the Fourth Proportional to 5,952.22, 8,213.67 and 3,299.54

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Solution

The fourth proportional to 5,952.22, 8,213.67 and 3,299.54 is: 4,553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.22 : 8,213.67 = 3,299.54 : x
  2. Step 2: Convert to fraction form
    5,952.22/8,213.67 = 3,299.54/x
  3. Step 3: Cross multiply
    5,952.22x = 8,213.67 × 3,299.54
  4. Step 4: Simplify right side
    5,952.22x = 27,101,291.64
  5. Step 5: Solve for x
    x = 27,101,291.64/5,952.22
  6. Step 6: Final answer
    x = 4,553.14

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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.