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Finding the Fourth Proportional to 3,791.72, 5,233.38 and 2,549

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Solution

The fourth proportional to 3,791.72, 5,233.38 and 2,549 is: 3,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.72 : 5,233.38 = 2,549 : x
  2. Step 2: Convert to fraction form
    3,791.72/5,233.38 = 2,549/x
  3. Step 3: Cross multiply
    3,791.72x = 5,233.38 × 2,549
  4. Step 4: Simplify right side
    3,791.72x = 13,339,885.62
  5. Step 5: Solve for x
    x = 13,339,885.62/3,791.72
  6. Step 6: Final answer
    x = 3,518.16

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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.