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Finding the Fourth Proportional to 5,938.97, 8,202.52 and 4,047.32

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Solution

The fourth proportional to 5,938.97, 8,202.52 and 4,047.32 is: 5,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.97 : 8,202.52 = 4,047.32 : x
  2. Step 2: Convert to fraction form
    5,938.97/8,202.52 = 4,047.32/x
  3. Step 3: Cross multiply
    5,938.97x = 8,202.52 × 4,047.32
  4. Step 4: Simplify right side
    5,938.97x = 33,198,218.05
  5. Step 5: Solve for x
    x = 33,198,218.05/5,938.97
  6. Step 6: Final answer
    x = 5,589.89

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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.