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Finding the Fourth Proportional to 3,747.36, 5,170.54 and 2,174.54

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Solution

The fourth proportional to 3,747.36, 5,170.54 and 2,174.54 is: 3,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.36 : 5,170.54 = 2,174.54 : x
  2. Step 2: Convert to fraction form
    3,747.36/5,170.54 = 2,174.54/x
  3. Step 3: Cross multiply
    3,747.36x = 5,170.54 × 2,174.54
  4. Step 4: Simplify right side
    3,747.36x = 11,243,546.05
  5. Step 5: Solve for x
    x = 11,243,546.05/3,747.36
  6. Step 6: Final answer
    x = 3,000.39

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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.