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Finding the Fourth Proportional to 3,661.92, 5,486.49 and 3,049.56

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Solution

The fourth proportional to 3,661.92, 5,486.49 and 3,049.56 is: 4,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.92 : 5,486.49 = 3,049.56 : x
  2. Step 2: Convert to fraction form
    3,661.92/5,486.49 = 3,049.56/x
  3. Step 3: Cross multiply
    3,661.92x = 5,486.49 × 3,049.56
  4. Step 4: Simplify right side
    3,661.92x = 16,731,380.44
  5. Step 5: Solve for x
    x = 16,731,380.44/3,661.92
  6. Step 6: Final answer
    x = 4,569.02

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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.