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Finding the Fourth Proportional to 3,366.89, 5,049.63 and 1,286.43

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Solution

The fourth proportional to 3,366.89, 5,049.63 and 1,286.43 is: 1,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,366.89 : 5,049.63 = 1,286.43 : x
  2. Step 2: Convert to fraction form
    3,366.89/5,049.63 = 1,286.43/x
  3. Step 3: Cross multiply
    3,366.89x = 5,049.63 × 1,286.43
  4. Step 4: Simplify right side
    3,366.89x = 6,495,995.52
  5. Step 5: Solve for x
    x = 6,495,995.52/3,366.89
  6. Step 6: Final answer
    x = 1,929.38

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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.