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Finding the Fourth Proportional to 3,821.96, 5,273.98 and 2,827.88

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Solution

The fourth proportional to 3,821.96, 5,273.98 and 2,827.88 is: 3,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.96 : 5,273.98 = 2,827.88 : x
  2. Step 2: Convert to fraction form
    3,821.96/5,273.98 = 2,827.88/x
  3. Step 3: Cross multiply
    3,821.96x = 5,273.98 × 2,827.88
  4. Step 4: Simplify right side
    3,821.96x = 14,914,182.56
  5. Step 5: Solve for x
    x = 14,914,182.56/3,821.96
  6. Step 6: Final answer
    x = 3,902.23

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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.