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Finding the Fourth Proportional to 6,086.79, 8,398.82 and 3,434.15

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Solution

The fourth proportional to 6,086.79, 8,398.82 and 3,434.15 is: 4,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.79 : 8,398.82 = 3,434.15 : x
  2. Step 2: Convert to fraction form
    6,086.79/8,398.82 = 3,434.15/x
  3. Step 3: Cross multiply
    6,086.79x = 8,398.82 × 3,434.15
  4. Step 4: Simplify right side
    6,086.79x = 28,842,748.54
  5. Step 5: Solve for x
    x = 28,842,748.54/6,086.79
  6. Step 6: Final answer
    x = 4,738.58

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