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Finding the Fourth Proportional to 5,161.49, 7,120.19 and 3,269.87

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Solution

The fourth proportional to 5,161.49, 7,120.19 and 3,269.87 is: 4,510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.49 : 7,120.19 = 3,269.87 : x
  2. Step 2: Convert to fraction form
    5,161.49/7,120.19 = 3,269.87/x
  3. Step 3: Cross multiply
    5,161.49x = 7,120.19 × 3,269.87
  4. Step 4: Simplify right side
    5,161.49x = 23,282,043.73
  5. Step 5: Solve for x
    x = 23,282,043.73/5,161.49
  6. Step 6: Final answer
    x = 4,510.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.