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Finding the Fourth Proportional to 3,685.05, 5,523.84 and 1,218.27

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Solution

The fourth proportional to 3,685.05, 5,523.84 and 1,218.27 is: 1,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.05 : 5,523.84 = 1,218.27 : x
  2. Step 2: Convert to fraction form
    3,685.05/5,523.84 = 1,218.27/x
  3. Step 3: Cross multiply
    3,685.05x = 5,523.84 × 1,218.27
  4. Step 4: Simplify right side
    3,685.05x = 6,729,528.56
  5. Step 5: Solve for x
    x = 6,729,528.56/3,685.05
  6. Step 6: Final answer
    x = 1,826.17

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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.