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Finding the Fourth Proportional to 6,086.82, 8,399.08 and 3,434.06

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Solution

The fourth proportional to 6,086.82, 8,399.08 and 3,434.06 is: 4,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.82 : 8,399.08 = 3,434.06 : x
  2. Step 2: Convert to fraction form
    6,086.82/8,399.08 = 3,434.06/x
  3. Step 3: Cross multiply
    6,086.82x = 8,399.08 × 3,434.06
  4. Step 4: Simplify right side
    6,086.82x = 28,842,944.66
  5. Step 5: Solve for x
    x = 28,842,944.66/6,086.82
  6. Step 6: Final answer
    x = 4,738.59

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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.