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Finding the Fourth Proportional to 3,800.31, 5,240.30 and 2,471.55

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Solution

The fourth proportional to 3,800.31, 5,240.30 and 2,471.55 is: 3,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.31 : 5,240.30 = 2,471.55 : x
  2. Step 2: Convert to fraction form
    3,800.31/5,240.30 = 2,471.55/x
  3. Step 3: Cross multiply
    3,800.31x = 5,240.30 × 2,471.55
  4. Step 4: Simplify right side
    3,800.31x = 12,951,651.11
  5. Step 5: Solve for x
    x = 12,951,651.11/3,800.31
  6. Step 6: Final answer
    x = 3,408.05

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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.