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Finding the Fourth Proportional to 3,605.68, 5,408.36 and 2,067.76

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Solution

The fourth proportional to 3,605.68, 5,408.36 and 2,067.76 is: 3,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.68 : 5,408.36 = 2,067.76 : x
  2. Step 2: Convert to fraction form
    3,605.68/5,408.36 = 2,067.76/x
  3. Step 3: Cross multiply
    3,605.68x = 5,408.36 × 2,067.76
  4. Step 4: Simplify right side
    3,605.68x = 11,183,190.47
  5. Step 5: Solve for x
    x = 11,183,190.47/3,605.68
  6. Step 6: Final answer
    x = 3,101.55

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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.