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Finding the Fourth Proportional to 6,086.22, 8,398.80 and 3,433.47

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Solution

The fourth proportional to 6,086.22, 8,398.80 and 3,433.47 is: 4,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.22 : 8,398.80 = 3,433.47 : x
  2. Step 2: Convert to fraction form
    6,086.22/8,398.80 = 3,433.47/x
  3. Step 3: Cross multiply
    6,086.22x = 8,398.80 × 3,433.47
  4. Step 4: Simplify right side
    6,086.22x = 28,837,027.84
  5. Step 5: Solve for x
    x = 28,837,027.84/6,086.22
  6. Step 6: Final answer
    x = 4,738.09

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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.