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Finding the Fourth Proportional to 5,736.06, 7,912.17 and 3,377.73

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Solution

The fourth proportional to 5,736.06, 7,912.17 and 3,377.73 is: 4,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.06 : 7,912.17 = 3,377.73 : x
  2. Step 2: Convert to fraction form
    5,736.06/7,912.17 = 3,377.73/x
  3. Step 3: Cross multiply
    5,736.06x = 7,912.17 × 3,377.73
  4. Step 4: Simplify right side
    5,736.06x = 26,725,173.97
  5. Step 5: Solve for x
    x = 26,725,173.97/5,736.06
  6. Step 6: Final answer
    x = 4,659.15

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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.