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Finding the Fourth Proportional to 3,138.67, 4,333.24 and 1,961.34

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Solution

The fourth proportional to 3,138.67, 4,333.24 and 1,961.34 is: 2,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.67 : 4,333.24 = 1,961.34 : x
  2. Step 2: Convert to fraction form
    3,138.67/4,333.24 = 1,961.34/x
  3. Step 3: Cross multiply
    3,138.67x = 4,333.24 × 1,961.34
  4. Step 4: Simplify right side
    3,138.67x = 8,498,956.94
  5. Step 5: Solve for x
    x = 8,498,956.94/3,138.67
  6. Step 6: Final answer
    x = 2,707.82

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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.