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Finding the Fourth Proportional to 5,951.74, 8,213.28 and 3,299.14

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Solution

The fourth proportional to 5,951.74, 8,213.28 and 3,299.14 is: 4,552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.74 : 8,213.28 = 3,299.14 : x
  2. Step 2: Convert to fraction form
    5,951.74/8,213.28 = 3,299.14/x
  3. Step 3: Cross multiply
    5,951.74x = 8,213.28 × 3,299.14
  4. Step 4: Simplify right side
    5,951.74x = 27,096,760.58
  5. Step 5: Solve for x
    x = 27,096,760.58/5,951.74
  6. Step 6: Final answer
    x = 4,552.75

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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.