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Finding the Fourth Proportional to 3,809.80, 5,715.94 and 1,618.56

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Solution

The fourth proportional to 3,809.80, 5,715.94 and 1,618.56 is: 2,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.80 : 5,715.94 = 1,618.56 : x
  2. Step 2: Convert to fraction form
    3,809.80/5,715.94 = 1,618.56/x
  3. Step 3: Cross multiply
    3,809.80x = 5,715.94 × 1,618.56
  4. Step 4: Simplify right side
    3,809.80x = 9,251,591.85
  5. Step 5: Solve for x
    x = 9,251,591.85/3,809.80
  6. Step 6: Final answer
    x = 2,428.37

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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.