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Finding the Fourth Proportional to 6,539.74, 9,793.20 and 3,408.68

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Solution

The fourth proportional to 6,539.74, 9,793.20 and 3,408.68 is: 5,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.74 : 9,793.20 = 3,408.68 : x
  2. Step 2: Convert to fraction form
    6,539.74/9,793.20 = 3,408.68/x
  3. Step 3: Cross multiply
    6,539.74x = 9,793.20 × 3,408.68
  4. Step 4: Simplify right side
    6,539.74x = 33,381,922.24
  5. Step 5: Solve for x
    x = 33,381,922.24/6,539.74
  6. Step 6: Final answer
    x = 5,104.47

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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.