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Finding the Fourth Proportional to 5,719.97, 7,892.88 and 3,202.22

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Solution

The fourth proportional to 5,719.97, 7,892.88 and 3,202.22 is: 4,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.97 : 7,892.88 = 3,202.22 : x
  2. Step 2: Convert to fraction form
    5,719.97/7,892.88 = 3,202.22/x
  3. Step 3: Cross multiply
    5,719.97x = 7,892.88 × 3,202.22
  4. Step 4: Simplify right side
    5,719.97x = 25,274,738.19
  5. Step 5: Solve for x
    x = 25,274,738.19/5,719.97
  6. Step 6: Final answer
    x = 4,418.68

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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.