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Finding the Fourth Proportional to 3,086.49, 4,257.87 and 2,967.13

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Solution

The fourth proportional to 3,086.49, 4,257.87 and 2,967.13 is: 4,093.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.49 : 4,257.87 = 2,967.13 : x
  2. Step 2: Convert to fraction form
    3,086.49/4,257.87 = 2,967.13/x
  3. Step 3: Cross multiply
    3,086.49x = 4,257.87 × 2,967.13
  4. Step 4: Simplify right side
    3,086.49x = 12,633,648.01
  5. Step 5: Solve for x
    x = 12,633,648.01/3,086.49
  6. Step 6: Final answer
    x = 4,093.21

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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.