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Finding the Fourth Proportional to 4,327.24, 5,972.34 and 4,183.24

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Solution

The fourth proportional to 4,327.24, 5,972.34 and 4,183.24 is: 5,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.24 : 5,972.34 = 4,183.24 : x
  2. Step 2: Convert to fraction form
    4,327.24/5,972.34 = 4,183.24/x
  3. Step 3: Cross multiply
    4,327.24x = 5,972.34 × 4,183.24
  4. Step 4: Simplify right side
    4,327.24x = 24,983,731.58
  5. Step 5: Solve for x
    x = 24,983,731.58/4,327.24
  6. Step 6: Final answer
    x = 5,773.60

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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.