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Finding the Fourth Proportional to 5,767.89, 7,960.73 and 4,523.73

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Solution

The fourth proportional to 5,767.89, 7,960.73 and 4,523.73 is: 6,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.89 : 7,960.73 = 4,523.73 : x
  2. Step 2: Convert to fraction form
    5,767.89/7,960.73 = 4,523.73/x
  3. Step 3: Cross multiply
    5,767.89x = 7,960.73 × 4,523.73
  4. Step 4: Simplify right side
    5,767.89x = 36,012,193.12
  5. Step 5: Solve for x
    x = 36,012,193.12/5,767.89
  6. Step 6: Final answer
    x = 6,243.56

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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.