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Finding the Fourth Proportional to 5,694.42, 8,540.73 and 1,797.96

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Solution

The fourth proportional to 5,694.42, 8,540.73 and 1,797.96 is: 2,696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.42 : 8,540.73 = 1,797.96 : x
  2. Step 2: Convert to fraction form
    5,694.42/8,540.73 = 1,797.96/x
  3. Step 3: Cross multiply
    5,694.42x = 8,540.73 × 1,797.96
  4. Step 4: Simplify right side
    5,694.42x = 15,355,890.91
  5. Step 5: Solve for x
    x = 15,355,890.91/5,694.42
  6. Step 6: Final answer
    x = 2,696.66

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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.