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Finding the Fourth Proportional to 5,952.24, 8,213.88 and 3,299.91

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Solution

The fourth proportional to 5,952.24, 8,213.88 and 3,299.91 is: 4,553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.24 : 8,213.88 = 3,299.91 : x
  2. Step 2: Convert to fraction form
    5,952.24/8,213.88 = 3,299.91/x
  3. Step 3: Cross multiply
    5,952.24x = 8,213.88 × 3,299.91
  4. Step 4: Simplify right side
    5,952.24x = 27,105,064.75
  5. Step 5: Solve for x
    x = 27,105,064.75/5,952.24
  6. Step 6: Final answer
    x = 4,553.76

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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.