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Finding the Fourth Proportional to 3,622.62, 5,433.99 and 1,542.98

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Solution

The fourth proportional to 3,622.62, 5,433.99 and 1,542.98 is: 2,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.62 : 5,433.99 = 1,542.98 : x
  2. Step 2: Convert to fraction form
    3,622.62/5,433.99 = 1,542.98/x
  3. Step 3: Cross multiply
    3,622.62x = 5,433.99 × 1,542.98
  4. Step 4: Simplify right side
    3,622.62x = 8,384,545.69
  5. Step 5: Solve for x
    x = 8,384,545.69/3,622.62
  6. Step 6: Final answer
    x = 2,314.50

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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.