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Finding the Fourth Proportional to 3,286.97, 4,536.35 and 1,960.68

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Solution

The fourth proportional to 3,286.97, 4,536.35 and 1,960.68 is: 2,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.97 : 4,536.35 = 1,960.68 : x
  2. Step 2: Convert to fraction form
    3,286.97/4,536.35 = 1,960.68/x
  3. Step 3: Cross multiply
    3,286.97x = 4,536.35 × 1,960.68
  4. Step 4: Simplify right side
    3,286.97x = 8,894,306.80
  5. Step 5: Solve for x
    x = 8,894,306.80/3,286.97
  6. Step 6: Final answer
    x = 2,705.93

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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.