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Finding the Fourth Proportional to 3,691.16, 5,536.73 and 1,093.89

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Solution

The fourth proportional to 3,691.16, 5,536.73 and 1,093.89 is: 1,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.16 : 5,536.73 = 1,093.89 : x
  2. Step 2: Convert to fraction form
    3,691.16/5,536.73 = 1,093.89/x
  3. Step 3: Cross multiply
    3,691.16x = 5,536.73 × 1,093.89
  4. Step 4: Simplify right side
    3,691.16x = 6,056,568.11
  5. Step 5: Solve for x
    x = 6,056,568.11/3,691.16
  6. Step 6: Final answer
    x = 1,640.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.