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Finding the Fourth Proportional to 3,694.82, 5,542.22 and 3,601.87

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Solution

The fourth proportional to 3,694.82, 5,542.22 and 3,601.87 is: 5,402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.82 : 5,542.22 = 3,601.87 : x
  2. Step 2: Convert to fraction form
    3,694.82/5,542.22 = 3,601.87/x
  3. Step 3: Cross multiply
    3,694.82x = 5,542.22 × 3,601.87
  4. Step 4: Simplify right side
    3,694.82x = 19,962,328.24
  5. Step 5: Solve for x
    x = 19,962,328.24/3,694.82
  6. Step 6: Final answer
    x = 5,402.80

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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.