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Finding the Fourth Proportional to 3,876, 5,816.56 and 1,824.16

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Solution

The fourth proportional to 3,876, 5,816.56 and 1,824.16 is: 2,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876 : 5,816.56 = 1,824.16 : x
  2. Step 2: Convert to fraction form
    3,876/5,816.56 = 1,824.16/x
  3. Step 3: Cross multiply
    3,876x = 5,816.56 × 1,824.16
  4. Step 4: Simplify right side
    3,876x = 10,610,336.09
  5. Step 5: Solve for x
    x = 10,610,336.09/3,876
  6. Step 6: Final answer
    x = 2,737.44

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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.