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Finding the Fourth Proportional to 5,174.21, 7,765.22 and 3,791.09

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Solution

The fourth proportional to 5,174.21, 7,765.22 and 3,791.09 is: 5,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.21 : 7,765.22 = 3,791.09 : x
  2. Step 2: Convert to fraction form
    5,174.21/7,765.22 = 3,791.09/x
  3. Step 3: Cross multiply
    5,174.21x = 7,765.22 × 3,791.09
  4. Step 4: Simplify right side
    5,174.21x = 29,438,590.11
  5. Step 5: Solve for x
    x = 29,438,590.11/5,174.21
  6. Step 6: Final answer
    x = 5,689.49

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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.