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Finding the Fourth Proportional to 5,114, 7,626.24 and 5,067.29

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Solution

The fourth proportional to 5,114, 7,626.24 and 5,067.29 is: 7,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114 : 7,626.24 = 5,067.29 : x
  2. Step 2: Convert to fraction form
    5,114/7,626.24 = 5,067.29/x
  3. Step 3: Cross multiply
    5,114x = 7,626.24 × 5,067.29
  4. Step 4: Simplify right side
    5,114x = 38,644,369.69
  5. Step 5: Solve for x
    x = 38,644,369.69/5,114
  6. Step 6: Final answer
    x = 7,556.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.