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Finding the Fourth Proportional to 4,832.80, 7,249.20 and 4,427.80

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Solution

The fourth proportional to 4,832.80, 7,249.20 and 4,427.80 is: 6,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.80 : 7,249.20 = 4,427.80 : x
  2. Step 2: Convert to fraction form
    4,832.80/7,249.20 = 4,427.80/x
  3. Step 3: Cross multiply
    4,832.80x = 7,249.20 × 4,427.80
  4. Step 4: Simplify right side
    4,832.80x = 32,098,007.76
  5. Step 5: Solve for x
    x = 32,098,007.76/4,832.80
  6. Step 6: Final answer
    x = 6,641.70

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.