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Finding the Fourth Proportional to 5,767.31, 8,650.97 and 2,306.99

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Solution

The fourth proportional to 5,767.31, 8,650.97 and 2,306.99 is: 3,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.31 : 8,650.97 = 2,306.99 : x
  2. Step 2: Convert to fraction form
    5,767.31/8,650.97 = 2,306.99/x
  3. Step 3: Cross multiply
    5,767.31x = 8,650.97 × 2,306.99
  4. Step 4: Simplify right side
    5,767.31x = 19,957,728.68
  5. Step 5: Solve for x
    x = 19,957,728.68/5,767.31
  6. Step 6: Final answer
    x = 3,460.49

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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.