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Finding the Fourth Proportional to 3,644.96, 5,467.44 and 908.96

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Solution

The fourth proportional to 3,644.96, 5,467.44 and 908.96 is: 1,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.96 : 5,467.44 = 908.96 : x
  2. Step 2: Convert to fraction form
    3,644.96/5,467.44 = 908.96/x
  3. Step 3: Cross multiply
    3,644.96x = 5,467.44 × 908.96
  4. Step 4: Simplify right side
    3,644.96x = 4,969,684.26
  5. Step 5: Solve for x
    x = 4,969,684.26/3,644.96
  6. Step 6: Final answer
    x = 1,363.44

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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.