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Finding the Fourth Proportional to 5,952.52, 8,214.50 and 3,299.97

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Solution

The fourth proportional to 5,952.52, 8,214.50 and 3,299.97 is: 4,553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.52 : 8,214.50 = 3,299.97 : x
  2. Step 2: Convert to fraction form
    5,952.52/8,214.50 = 3,299.97/x
  3. Step 3: Cross multiply
    5,952.52x = 8,214.50 × 3,299.97
  4. Step 4: Simplify right side
    5,952.52x = 27,107,587.07
  5. Step 5: Solve for x
    x = 27,107,587.07/5,952.52
  6. Step 6: Final answer
    x = 4,553.97

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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.