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Finding the Fourth Proportional to 5,489.88, 8,234.89 and 1,540.91

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Solution

The fourth proportional to 5,489.88, 8,234.89 and 1,540.91 is: 2,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.88 : 8,234.89 = 1,540.91 : x
  2. Step 2: Convert to fraction form
    5,489.88/8,234.89 = 1,540.91/x
  3. Step 3: Cross multiply
    5,489.88x = 8,234.89 × 1,540.91
  4. Step 4: Simplify right side
    5,489.88x = 12,689,241.08
  5. Step 5: Solve for x
    x = 12,689,241.08/5,489.88
  6. Step 6: Final answer
    x = 2,311.39

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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.