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Finding the Fourth Proportional to 3,704.27, 5,111.71 and 2,132.87

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Solution

The fourth proportional to 3,704.27, 5,111.71 and 2,132.87 is: 2,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.27 : 5,111.71 = 2,132.87 : x
  2. Step 2: Convert to fraction form
    3,704.27/5,111.71 = 2,132.87/x
  3. Step 3: Cross multiply
    3,704.27x = 5,111.71 × 2,132.87
  4. Step 4: Simplify right side
    3,704.27x = 10,902,582.02
  5. Step 5: Solve for x
    x = 10,902,582.02/3,704.27
  6. Step 6: Final answer
    x = 2,943.25

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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.