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Finding the Fourth Proportional to 5,982.09, 8,257.14 and 4,092.95

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Solution

The fourth proportional to 5,982.09, 8,257.14 and 4,092.95 is: 5,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.09 : 8,257.14 = 4,092.95 : x
  2. Step 2: Convert to fraction form
    5,982.09/8,257.14 = 4,092.95/x
  3. Step 3: Cross multiply
    5,982.09x = 8,257.14 × 4,092.95
  4. Step 4: Simplify right side
    5,982.09x = 33,796,061.16
  5. Step 5: Solve for x
    x = 33,796,061.16/5,982.09
  6. Step 6: Final answer
    x = 5,649.54

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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.