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Finding the Fourth Proportional to 3,733, 5,585.83 and 3,532.73

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Solution

The fourth proportional to 3,733, 5,585.83 and 3,532.73 is: 5,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733 : 5,585.83 = 3,532.73 : x
  2. Step 2: Convert to fraction form
    3,733/5,585.83 = 3,532.73/x
  3. Step 3: Cross multiply
    3,733x = 5,585.83 × 3,532.73
  4. Step 4: Simplify right side
    3,733x = 19,733,229.22
  5. Step 5: Solve for x
    x = 19,733,229.22/3,733
  6. Step 6: Final answer
    x = 5,286.16

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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.