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Finding the Fourth Proportional to 3,824.56, 5,737.02 and 1,227.34

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Solution

The fourth proportional to 3,824.56, 5,737.02 and 1,227.34 is: 1,841.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.56 : 5,737.02 = 1,227.34 : x
  2. Step 2: Convert to fraction form
    3,824.56/5,737.02 = 1,227.34/x
  3. Step 3: Cross multiply
    3,824.56x = 5,737.02 × 1,227.34
  4. Step 4: Simplify right side
    3,824.56x = 7,041,274.13
  5. Step 5: Solve for x
    x = 7,041,274.13/3,824.56
  6. Step 6: Final answer
    x = 1,841.07

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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.