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Finding the Fourth Proportional to 3,682.82, 5,523.24 and 1,049.74

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Solution

The fourth proportional to 3,682.82, 5,523.24 and 1,049.74 is: 1,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.82 : 5,523.24 = 1,049.74 : x
  2. Step 2: Convert to fraction form
    3,682.82/5,523.24 = 1,049.74/x
  3. Step 3: Cross multiply
    3,682.82x = 5,523.24 × 1,049.74
  4. Step 4: Simplify right side
    3,682.82x = 5,797,965.96
  5. Step 5: Solve for x
    x = 5,797,965.96/3,682.82
  6. Step 6: Final answer
    x = 1,574.33

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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.