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Finding the Fourth Proportional to 6,086.34, 8,399.16 and 3,291.84

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Solution

The fourth proportional to 6,086.34, 8,399.16 and 3,291.84 is: 4,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.34 : 8,399.16 = 3,291.84 : x
  2. Step 2: Convert to fraction form
    6,086.34/8,399.16 = 3,291.84/x
  3. Step 3: Cross multiply
    6,086.34x = 8,399.16 × 3,291.84
  4. Step 4: Simplify right side
    6,086.34x = 27,648,705.89
  5. Step 5: Solve for x
    x = 27,648,705.89/6,086.34
  6. Step 6: Final answer
    x = 4,542.74

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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.