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Finding the Fourth Proportional to 3,711.44, 5,121.84 and 2,055.44

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Solution

The fourth proportional to 3,711.44, 5,121.84 and 2,055.44 is: 2,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.44 : 5,121.84 = 2,055.44 : x
  2. Step 2: Convert to fraction form
    3,711.44/5,121.84 = 2,055.44/x
  3. Step 3: Cross multiply
    3,711.44x = 5,121.84 × 2,055.44
  4. Step 4: Simplify right side
    3,711.44x = 10,527,634.81
  5. Step 5: Solve for x
    x = 10,527,634.81/3,711.44
  6. Step 6: Final answer
    x = 2,836.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.