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Finding the Fourth Proportional to 5,967.29, 8,235.10 and 4,082.83

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Solution

The fourth proportional to 5,967.29, 8,235.10 and 4,082.83 is: 5,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.29 : 8,235.10 = 4,082.83 : x
  2. Step 2: Convert to fraction form
    5,967.29/8,235.10 = 4,082.83/x
  3. Step 3: Cross multiply
    5,967.29x = 8,235.10 × 4,082.83
  4. Step 4: Simplify right side
    5,967.29x = 33,622,451.74
  5. Step 5: Solve for x
    x = 33,622,451.74/5,967.29
  6. Step 6: Final answer
    x = 5,634.46

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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.