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Finding the Fourth Proportional to 5,952, 8,213.76 and 3,299.81

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Solution

The fourth proportional to 5,952, 8,213.76 and 3,299.81 is: 4,553.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952 : 8,213.76 = 3,299.81 : x
  2. Step 2: Convert to fraction form
    5,952/8,213.76 = 3,299.81/x
  3. Step 3: Cross multiply
    5,952x = 8,213.76 × 3,299.81
  4. Step 4: Simplify right side
    5,952x = 27,103,867.92
  5. Step 5: Solve for x
    x = 27,103,867.92/5,952
  6. Step 6: Final answer
    x = 4,553.74

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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.