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Finding the Fourth Proportional to 3,892, 5,370.85 and 2,190.60

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Solution

The fourth proportional to 3,892, 5,370.85 and 2,190.60 is: 3,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892 : 5,370.85 = 2,190.60 : x
  2. Step 2: Convert to fraction form
    3,892/5,370.85 = 2,190.60/x
  3. Step 3: Cross multiply
    3,892x = 5,370.85 × 2,190.60
  4. Step 4: Simplify right side
    3,892x = 11,765,373.06
  5. Step 5: Solve for x
    x = 11,765,373.06/3,892
  6. Step 6: Final answer
    x = 3,022.96

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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.