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Finding the Fourth Proportional to 5,667.24, 7,820.80 and 3,183.24

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Solution

The fourth proportional to 5,667.24, 7,820.80 and 3,183.24 is: 4,392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.24 : 7,820.80 = 3,183.24 : x
  2. Step 2: Convert to fraction form
    5,667.24/7,820.80 = 3,183.24/x
  3. Step 3: Cross multiply
    5,667.24x = 7,820.80 × 3,183.24
  4. Step 4: Simplify right side
    5,667.24x = 24,895,483.39
  5. Step 5: Solve for x
    x = 24,895,483.39/5,667.24
  6. Step 6: Final answer
    x = 4,392.88

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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.