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Finding the Fourth Proportional to 3,796.74, 5,234.70 and 3,229.02

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Solution

The fourth proportional to 3,796.74, 5,234.70 and 3,229.02 is: 4,451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.74 : 5,234.70 = 3,229.02 : x
  2. Step 2: Convert to fraction form
    3,796.74/5,234.70 = 3,229.02/x
  3. Step 3: Cross multiply
    3,796.74x = 5,234.70 × 3,229.02
  4. Step 4: Simplify right side
    3,796.74x = 16,902,950.99
  5. Step 5: Solve for x
    x = 16,902,950.99/3,796.74
  6. Step 6: Final answer
    x = 4,451.96

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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.