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Finding the Fourth Proportional to 5,945.66, 8,202.90 and 3,553.97

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Solution

The fourth proportional to 5,945.66, 8,202.90 and 3,553.97 is: 4,903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.66 : 8,202.90 = 3,553.97 : x
  2. Step 2: Convert to fraction form
    5,945.66/8,202.90 = 3,553.97/x
  3. Step 3: Cross multiply
    5,945.66x = 8,202.90 × 3,553.97
  4. Step 4: Simplify right side
    5,945.66x = 29,152,865.70
  5. Step 5: Solve for x
    x = 29,152,865.70/5,945.66
  6. Step 6: Final answer
    x = 4,903.22

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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.