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Finding the Fourth Proportional to 3,471.31, 4,789.83 and 2,145.88

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Solution

The fourth proportional to 3,471.31, 4,789.83 and 2,145.88 is: 2,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.31 : 4,789.83 = 2,145.88 : x
  2. Step 2: Convert to fraction form
    3,471.31/4,789.83 = 2,145.88/x
  3. Step 3: Cross multiply
    3,471.31x = 4,789.83 × 2,145.88
  4. Step 4: Simplify right side
    3,471.31x = 10,278,400.40
  5. Step 5: Solve for x
    x = 10,278,400.40/3,471.31
  6. Step 6: Final answer
    x = 2,960.96

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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.