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Finding the Fourth Proportional to 5,951.91, 8,213.49 and 3,299.16

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Solution

The fourth proportional to 5,951.91, 8,213.49 and 3,299.16 is: 4,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.91 : 8,213.49 = 3,299.16 : x
  2. Step 2: Convert to fraction form
    5,951.91/8,213.49 = 3,299.16/x
  3. Step 3: Cross multiply
    5,951.91x = 8,213.49 × 3,299.16
  4. Step 4: Simplify right side
    5,951.91x = 27,097,617.67
  5. Step 5: Solve for x
    x = 27,097,617.67/5,951.91
  6. Step 6: Final answer
    x = 4,552.76

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1.5x scale

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.