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Finding the Fourth Proportional to 5,667, 7,820.46 and 3,183

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Solution

The fourth proportional to 5,667, 7,820.46 and 3,183 is: 4,392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667 : 7,820.46 = 3,183 : x
  2. Step 2: Convert to fraction form
    5,667/7,820.46 = 3,183/x
  3. Step 3: Cross multiply
    5,667x = 7,820.46 × 3,183
  4. Step 4: Simplify right side
    5,667x = 24,892,524.18
  5. Step 5: Solve for x
    x = 24,892,524.18/5,667
  6. Step 6: Final answer
    x = 4,392.54

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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.