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Finding the Fourth Proportional to 4,086.49, 6,132.07 and 3,401.46

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Solution

The fourth proportional to 4,086.49, 6,132.07 and 3,401.46 is: 5,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.49 : 6,132.07 = 3,401.46 : x
  2. Step 2: Convert to fraction form
    4,086.49/6,132.07 = 3,401.46/x
  3. Step 3: Cross multiply
    4,086.49x = 6,132.07 × 3,401.46
  4. Step 4: Simplify right side
    4,086.49x = 20,857,990.82
  5. Step 5: Solve for x
    x = 20,857,990.82/4,086.49
  6. Step 6: Final answer
    x = 5,104.13

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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.