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Finding the Fourth Proportional to 5,728.82, 8,593.11 and 1,833.23

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Solution

The fourth proportional to 5,728.82, 8,593.11 and 1,833.23 is: 2,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.82 : 8,593.11 = 1,833.23 : x
  2. Step 2: Convert to fraction form
    5,728.82/8,593.11 = 1,833.23/x
  3. Step 3: Cross multiply
    5,728.82x = 8,593.11 × 1,833.23
  4. Step 4: Simplify right side
    5,728.82x = 15,753,147.05
  5. Step 5: Solve for x
    x = 15,753,147.05/5,728.82
  6. Step 6: Final answer
    x = 2,749.81

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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.