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Finding the Fourth Proportional to 6,086.22, 8,398.86 and 3,433.62

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Solution

The fourth proportional to 6,086.22, 8,398.86 and 3,433.62 is: 4,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.22 : 8,398.86 = 3,433.62 : x
  2. Step 2: Convert to fraction form
    6,086.22/8,398.86 = 3,433.62/x
  3. Step 3: Cross multiply
    6,086.22x = 8,398.86 × 3,433.62
  4. Step 4: Simplify right side
    6,086.22x = 28,838,493.67
  5. Step 5: Solve for x
    x = 28,838,493.67/6,086.22
  6. Step 6: Final answer
    x = 4,738.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.