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Finding the Fourth Proportional to 5,952.16, 8,214 and 3,299.61

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Solution

The fourth proportional to 5,952.16, 8,214 and 3,299.61 is: 4,553.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.16 : 8,214 = 3,299.61 : x
  2. Step 2: Convert to fraction form
    5,952.16/8,214 = 3,299.61/x
  3. Step 3: Cross multiply
    5,952.16x = 8,214 × 3,299.61
  4. Step 4: Simplify right side
    5,952.16x = 27,102,996.54
  5. Step 5: Solve for x
    x = 27,102,996.54/5,952.16
  6. Step 6: Final answer
    x = 4,553.47

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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.