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Finding the Fourth Proportional to 3,821.57, 5,273.47 and 2,142.94

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Solution

The fourth proportional to 3,821.57, 5,273.47 and 2,142.94 is: 2,957.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.57 : 5,273.47 = 2,142.94 : x
  2. Step 2: Convert to fraction form
    3,821.57/5,273.47 = 2,142.94/x
  3. Step 3: Cross multiply
    3,821.57x = 5,273.47 × 2,142.94
  4. Step 4: Simplify right side
    3,821.57x = 11,300,729.80
  5. Step 5: Solve for x
    x = 11,300,729.80/3,821.57
  6. Step 6: Final answer
    x = 2,957.09

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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.