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Finding the Fourth Proportional to 5,946.62, 8,912.84 and 2,436.48

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Solution

The fourth proportional to 5,946.62, 8,912.84 and 2,436.48 is: 3,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.62 : 8,912.84 = 2,436.48 : x
  2. Step 2: Convert to fraction form
    5,946.62/8,912.84 = 2,436.48/x
  3. Step 3: Cross multiply
    5,946.62x = 8,912.84 × 2,436.48
  4. Step 4: Simplify right side
    5,946.62x = 21,715,944.22
  5. Step 5: Solve for x
    x = 21,715,944.22/5,946.62
  6. Step 6: Final answer
    x = 3,651.82

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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.