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Finding the Fourth Proportional to 3,178.92, 4,383.22 and 2,982.12

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Solution

The fourth proportional to 3,178.92, 4,383.22 and 2,982.12 is: 4,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.92 : 4,383.22 = 2,982.12 : x
  2. Step 2: Convert to fraction form
    3,178.92/4,383.22 = 2,982.12/x
  3. Step 3: Cross multiply
    3,178.92x = 4,383.22 × 2,982.12
  4. Step 4: Simplify right side
    3,178.92x = 13,071,288.03
  5. Step 5: Solve for x
    x = 13,071,288.03/3,178.92
  6. Step 6: Final answer
    x = 4,111.86

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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.