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Finding the Fourth Proportional to 4,086.42, 6,129.62 and 3,269.88

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Solution

The fourth proportional to 4,086.42, 6,129.62 and 3,269.88 is: 4,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.42 : 6,129.62 = 3,269.88 : x
  2. Step 2: Convert to fraction form
    4,086.42/6,129.62 = 3,269.88/x
  3. Step 3: Cross multiply
    4,086.42x = 6,129.62 × 3,269.88
  4. Step 4: Simplify right side
    4,086.42x = 20,043,121.85
  5. Step 5: Solve for x
    x = 20,043,121.85/4,086.42
  6. Step 6: Final answer
    x = 4,904.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.