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Finding the Fourth Proportional to 3,734.49, 5,601.99 and 1,394.45

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Solution

The fourth proportional to 3,734.49, 5,601.99 and 1,394.45 is: 2,091.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.49 : 5,601.99 = 1,394.45 : x
  2. Step 2: Convert to fraction form
    3,734.49/5,601.99 = 1,394.45/x
  3. Step 3: Cross multiply
    3,734.49x = 5,601.99 × 1,394.45
  4. Step 4: Simplify right side
    3,734.49x = 7,811,694.96
  5. Step 5: Solve for x
    x = 7,811,694.96/3,734.49
  6. Step 6: Final answer
    x = 2,091.77

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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.