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Finding the Fourth Proportional to 3,493.64, 5,235.45 and 2,709.97

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Solution

The fourth proportional to 3,493.64, 5,235.45 and 2,709.97 is: 4,061.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.64 : 5,235.45 = 2,709.97 : x
  2. Step 2: Convert to fraction form
    3,493.64/5,235.45 = 2,709.97/x
  3. Step 3: Cross multiply
    3,493.64x = 5,235.45 × 2,709.97
  4. Step 4: Simplify right side
    3,493.64x = 14,187,912.44
  5. Step 5: Solve for x
    x = 14,187,912.44/3,493.64
  6. Step 6: Final answer
    x = 4,061.07

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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.