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Finding the Fourth Proportional to 5,667.38, 7,821.47 and 3,183.86

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Solution

The fourth proportional to 5,667.38, 7,821.47 and 3,183.86 is: 4,393.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.38 : 7,821.47 = 3,183.86 : x
  2. Step 2: Convert to fraction form
    5,667.38/7,821.47 = 3,183.86/x
  3. Step 3: Cross multiply
    5,667.38x = 7,821.47 × 3,183.86
  4. Step 4: Simplify right side
    5,667.38x = 24,902,410.45
  5. Step 5: Solve for x
    x = 24,902,410.45/5,667.38
  6. Step 6: Final answer
    x = 4,393.99

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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.