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Finding the Fourth Proportional to 5,211.42, 7,818.05 and 2,249.87

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Solution

The fourth proportional to 5,211.42, 7,818.05 and 2,249.87 is: 3,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.42 : 7,818.05 = 2,249.87 : x
  2. Step 2: Convert to fraction form
    5,211.42/7,818.05 = 2,249.87/x
  3. Step 3: Cross multiply
    5,211.42x = 7,818.05 × 2,249.87
  4. Step 4: Simplify right side
    5,211.42x = 17,589,545.81
  5. Step 5: Solve for x
    x = 17,589,545.81/5,211.42
  6. Step 6: Final answer
    x = 3,375.19

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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.