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Finding the Fourth Proportional to 3,286.28, 4,536.53 and 1,960.44

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Solution

The fourth proportional to 3,286.28, 4,536.53 and 1,960.44 is: 2,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.28 : 4,536.53 = 1,960.44 : x
  2. Step 2: Convert to fraction form
    3,286.28/4,536.53 = 1,960.44/x
  3. Step 3: Cross multiply
    3,286.28x = 4,536.53 × 1,960.44
  4. Step 4: Simplify right side
    3,286.28x = 8,893,585.07
  5. Step 5: Solve for x
    x = 8,893,585.07/3,286.28
  6. Step 6: Final answer
    x = 2,706.28

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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.