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Finding the Fourth Proportional to 5,732.78, 7,912.91 and 3,743.63

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Solution

The fourth proportional to 5,732.78, 7,912.91 and 3,743.63 is: 5,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.78 : 7,912.91 = 3,743.63 : x
  2. Step 2: Convert to fraction form
    5,732.78/7,912.91 = 3,743.63/x
  3. Step 3: Cross multiply
    5,732.78x = 7,912.91 × 3,743.63
  4. Step 4: Simplify right side
    5,732.78x = 29,623,006.73
  5. Step 5: Solve for x
    x = 29,623,006.73/5,732.78
  6. Step 6: Final answer
    x = 5,167.31

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1.5x scale

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.