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Finding the Fourth Proportional to 5,489.40, 8,234.92 and 2,026.40

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Solution

The fourth proportional to 5,489.40, 8,234.92 and 2,026.40 is: 3,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.40 : 8,234.92 = 2,026.40 : x
  2. Step 2: Convert to fraction form
    5,489.40/8,234.92 = 2,026.40/x
  3. Step 3: Cross multiply
    5,489.40x = 8,234.92 × 2,026.40
  4. Step 4: Simplify right side
    5,489.40x = 16,687,241.89
  5. Step 5: Solve for x
    x = 16,687,241.89/5,489.40
  6. Step 6: Final answer
    x = 3,039.90

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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.