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Finding the Fourth Proportional to 5,644.33, 8,468.12 and 3,694.12

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Solution

The fourth proportional to 5,644.33, 8,468.12 and 3,694.12 is: 5,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.33 : 8,468.12 = 3,694.12 : x
  2. Step 2: Convert to fraction form
    5,644.33/8,468.12 = 3,694.12/x
  3. Step 3: Cross multiply
    5,644.33x = 8,468.12 × 3,694.12
  4. Step 4: Simplify right side
    5,644.33x = 31,282,232.98
  5. Step 5: Solve for x
    x = 31,282,232.98/5,644.33
  6. Step 6: Final answer
    x = 5,542.24

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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.