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Finding the Fourth Proportional to 3,794.50, 5,237.85 and 2,553.22

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Solution

The fourth proportional to 3,794.50, 5,237.85 and 2,553.22 is: 3,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.50 : 5,237.85 = 2,553.22 : x
  2. Step 2: Convert to fraction form
    3,794.50/5,237.85 = 2,553.22/x
  3. Step 3: Cross multiply
    3,794.50x = 5,237.85 × 2,553.22
  4. Step 4: Simplify right side
    3,794.50x = 13,373,383.38
  5. Step 5: Solve for x
    x = 13,373,383.38/3,794.50
  6. Step 6: Final answer
    x = 3,524.41

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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.