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Finding the Fourth Proportional to 3,728.43, 5,143.77 and 2,156.22

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Solution

The fourth proportional to 3,728.43, 5,143.77 and 2,156.22 is: 2,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.43 : 5,143.77 = 2,156.22 : x
  2. Step 2: Convert to fraction form
    3,728.43/5,143.77 = 2,156.22/x
  3. Step 3: Cross multiply
    3,728.43x = 5,143.77 × 2,156.22
  4. Step 4: Simplify right side
    3,728.43x = 11,091,099.75
  5. Step 5: Solve for x
    x = 11,091,099.75/3,728.43
  6. Step 6: Final answer
    x = 2,974.74

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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.