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Finding the Fourth Proportional to 3,691.87, 5,537.88 and 1,351.93

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Solution

The fourth proportional to 3,691.87, 5,537.88 and 1,351.93 is: 2,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.87 : 5,537.88 = 1,351.93 : x
  2. Step 2: Convert to fraction form
    3,691.87/5,537.88 = 1,351.93/x
  3. Step 3: Cross multiply
    3,691.87x = 5,537.88 × 1,351.93
  4. Step 4: Simplify right side
    3,691.87x = 7,486,826.11
  5. Step 5: Solve for x
    x = 7,486,826.11/3,691.87
  6. Step 6: Final answer
    x = 2,027.92

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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.