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Finding the Fourth Proportional to 5,773.20, 7,968.34 and 3,782.62

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Solution

The fourth proportional to 5,773.20, 7,968.34 and 3,782.62 is: 5,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.20 : 7,968.34 = 3,782.62 : x
  2. Step 2: Convert to fraction form
    5,773.20/7,968.34 = 3,782.62/x
  3. Step 3: Cross multiply
    5,773.20x = 7,968.34 × 3,782.62
  4. Step 4: Simplify right side
    5,773.20x = 30,141,202.25
  5. Step 5: Solve for x
    x = 30,141,202.25/5,773.20
  6. Step 6: Final answer
    x = 5,220.88

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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.