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Finding the Fourth Proportional to 5,600.75, 7,728.17 and 3,242.44

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Solution

The fourth proportional to 5,600.75, 7,728.17 and 3,242.44 is: 4,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.75 : 7,728.17 = 3,242.44 : x
  2. Step 2: Convert to fraction form
    5,600.75/7,728.17 = 3,242.44/x
  3. Step 3: Cross multiply
    5,600.75x = 7,728.17 × 3,242.44
  4. Step 4: Simplify right side
    5,600.75x = 25,058,092.00
  5. Step 5: Solve for x
    x = 25,058,092.00/5,600.75
  6. Step 6: Final answer
    x = 4,474.06

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Half scale
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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.