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Finding the Fourth Proportional to 5,667.39, 7,821 and 3,149.91

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Solution

The fourth proportional to 5,667.39, 7,821 and 3,149.91 is: 4,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.39 : 7,821 = 3,149.91 : x
  2. Step 2: Convert to fraction form
    5,667.39/7,821 = 3,149.91/x
  3. Step 3: Cross multiply
    5,667.39x = 7,821 × 3,149.91
  4. Step 4: Simplify right side
    5,667.39x = 24,635,446.11
  5. Step 5: Solve for x
    x = 24,635,446.11/5,667.39
  6. Step 6: Final answer
    x = 4,346.88

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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.