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Finding the Fourth Proportional to 3,892.26, 5,372.22 and 2,566.20

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Solution

The fourth proportional to 3,892.26, 5,372.22 and 2,566.20 is: 3,541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.26 : 5,372.22 = 2,566.20 : x
  2. Step 2: Convert to fraction form
    3,892.26/5,372.22 = 2,566.20/x
  3. Step 3: Cross multiply
    3,892.26x = 5,372.22 × 2,566.20
  4. Step 4: Simplify right side
    3,892.26x = 13,786,190.96
  5. Step 5: Solve for x
    x = 13,786,190.96/3,892.26
  6. Step 6: Final answer
    x = 3,541.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.