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Finding the Fourth Proportional to 3,704.66, 5,112.24 and 2,132.54

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Solution

The fourth proportional to 3,704.66, 5,112.24 and 2,132.54 is: 2,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.66 : 5,112.24 = 2,132.54 : x
  2. Step 2: Convert to fraction form
    3,704.66/5,112.24 = 2,132.54/x
  3. Step 3: Cross multiply
    3,704.66x = 5,112.24 × 2,132.54
  4. Step 4: Simplify right side
    3,704.66x = 10,902,056.29
  5. Step 5: Solve for x
    x = 10,902,056.29/3,704.66
  6. Step 6: Final answer
    x = 2,942.80

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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.