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Finding the Fourth Proportional to 5,553.73, 7,664.38 and 3,195.88

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Solution

The fourth proportional to 5,553.73, 7,664.38 and 3,195.88 is: 4,410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,553.73 : 7,664.38 = 3,195.88 : x
  2. Step 2: Convert to fraction form
    5,553.73/7,664.38 = 3,195.88/x
  3. Step 3: Cross multiply
    5,553.73x = 7,664.38 × 3,195.88
  4. Step 4: Simplify right side
    5,553.73x = 24,494,438.75
  5. Step 5: Solve for x
    x = 24,494,438.75/5,553.73
  6. Step 6: Final answer
    x = 4,410.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.