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Finding the Fourth Proportional to 3,697.05, 5,545.84 and 1,163.93

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Solution

The fourth proportional to 3,697.05, 5,545.84 and 1,163.93 is: 1,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.05 : 5,545.84 = 1,163.93 : x
  2. Step 2: Convert to fraction form
    3,697.05/5,545.84 = 1,163.93/x
  3. Step 3: Cross multiply
    3,697.05x = 5,545.84 × 1,163.93
  4. Step 4: Simplify right side
    3,697.05x = 6,454,938.91
  5. Step 5: Solve for x
    x = 6,454,938.91/3,697.05
  6. Step 6: Final answer
    x = 1,745.97

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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.