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Finding the Fourth Proportional to 5,684.96, 8,524.20 and 3,049.22

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Solution

The fourth proportional to 5,684.96, 8,524.20 and 3,049.22 is: 4,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.96 : 8,524.20 = 3,049.22 : x
  2. Step 2: Convert to fraction form
    5,684.96/8,524.20 = 3,049.22/x
  3. Step 3: Cross multiply
    5,684.96x = 8,524.20 × 3,049.22
  4. Step 4: Simplify right side
    5,684.96x = 25,992,161.12
  5. Step 5: Solve for x
    x = 25,992,161.12/5,684.96
  6. Step 6: Final answer
    x = 4,572.09

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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.