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Finding the Fourth Proportional to 3,691.30, 5,536.86 and 1,351.84

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Solution

The fourth proportional to 3,691.30, 5,536.86 and 1,351.84 is: 2,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.30 : 5,536.86 = 1,351.84 : x
  2. Step 2: Convert to fraction form
    3,691.30/5,536.86 = 1,351.84/x
  3. Step 3: Cross multiply
    3,691.30x = 5,536.86 × 1,351.84
  4. Step 4: Simplify right side
    3,691.30x = 7,484,948.82
  5. Step 5: Solve for x
    x = 7,484,948.82/3,691.30
  6. Step 6: Final answer
    x = 2,027.73

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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.