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Finding the Fourth Proportional to 3,105.52, 4,658.52 and 797

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Solution

The fourth proportional to 3,105.52, 4,658.52 and 797 is: 1,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.52 : 4,658.52 = 797 : x
  2. Step 2: Convert to fraction form
    3,105.52/4,658.52 = 797/x
  3. Step 3: Cross multiply
    3,105.52x = 4,658.52 × 797
  4. Step 4: Simplify right side
    3,105.52x = 3,712,840.44
  5. Step 5: Solve for x
    x = 3,712,840.44/3,105.52
  6. Step 6: Final answer
    x = 1,195.56

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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.