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Finding the Fourth Proportional to 5,463.62, 8,194.62 and 2,689.54

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Solution

The fourth proportional to 5,463.62, 8,194.62 and 2,689.54 is: 4,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.62 : 8,194.62 = 2,689.54 : x
  2. Step 2: Convert to fraction form
    5,463.62/8,194.62 = 2,689.54/x
  3. Step 3: Cross multiply
    5,463.62x = 8,194.62 × 2,689.54
  4. Step 4: Simplify right side
    5,463.62x = 22,039,758.27
  5. Step 5: Solve for x
    x = 22,039,758.27/5,463.62
  6. Step 6: Final answer
    x = 4,033.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.