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Finding the Fourth Proportional to 3,197.72, 4,791.72 and 2,372.13

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Solution

The fourth proportional to 3,197.72, 4,791.72 and 2,372.13 is: 3,554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.72 : 4,791.72 = 2,372.13 : x
  2. Step 2: Convert to fraction form
    3,197.72/4,791.72 = 2,372.13/x
  3. Step 3: Cross multiply
    3,197.72x = 4,791.72 × 2,372.13
  4. Step 4: Simplify right side
    3,197.72x = 11,366,582.76
  5. Step 5: Solve for x
    x = 11,366,582.76/3,197.72
  6. Step 6: Final answer
    x = 3,554.59

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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.