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Finding the Fourth Proportional to 3,471.43, 4,789.21 and 2,142.83

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Solution

The fourth proportional to 3,471.43, 4,789.21 and 2,142.83 is: 2,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.43 : 4,789.21 = 2,142.83 : x
  2. Step 2: Convert to fraction form
    3,471.43/4,789.21 = 2,142.83/x
  3. Step 3: Cross multiply
    3,471.43x = 4,789.21 × 2,142.83
  4. Step 4: Simplify right side
    3,471.43x = 10,262,462.86
  5. Step 5: Solve for x
    x = 10,262,462.86/3,471.43
  6. Step 6: Final answer
    x = 2,956.26

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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.