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Finding the Fourth Proportional to 5,723.41, 7,892.28 and 4,234.42

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Solution

The fourth proportional to 5,723.41, 7,892.28 and 4,234.42 is: 5,839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.41 : 7,892.28 = 4,234.42 : x
  2. Step 2: Convert to fraction form
    5,723.41/7,892.28 = 4,234.42/x
  3. Step 3: Cross multiply
    5,723.41x = 7,892.28 × 4,234.42
  4. Step 4: Simplify right side
    5,723.41x = 33,419,228.28
  5. Step 5: Solve for x
    x = 33,419,228.28/5,723.41
  6. Step 6: Final answer
    x = 5,839.04

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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.