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Finding the Fourth Proportional to 3,471.30, 5,199.21 and 2,685.96

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Solution

The fourth proportional to 3,471.30, 5,199.21 and 2,685.96 is: 4,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.30 : 5,199.21 = 2,685.96 : x
  2. Step 2: Convert to fraction form
    3,471.30/5,199.21 = 2,685.96/x
  3. Step 3: Cross multiply
    3,471.30x = 5,199.21 × 2,685.96
  4. Step 4: Simplify right side
    3,471.30x = 13,964,870.09
  5. Step 5: Solve for x
    x = 13,964,870.09/3,471.30
  6. Step 6: Final answer
    x = 4,022.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.