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Finding the Fourth Proportional to 3,796.29, 5,695.29 and 1,331.19

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Solution

The fourth proportional to 3,796.29, 5,695.29 and 1,331.19 is: 1,997.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.29 : 5,695.29 = 1,331.19 : x
  2. Step 2: Convert to fraction form
    3,796.29/5,695.29 = 1,331.19/x
  3. Step 3: Cross multiply
    3,796.29x = 5,695.29 × 1,331.19
  4. Step 4: Simplify right side
    3,796.29x = 7,581,513.10
  5. Step 5: Solve for x
    x = 7,581,513.10/3,796.29
  6. Step 6: Final answer
    x = 1,997.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.