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Finding the Fourth Proportional to 3,821.70, 5,728.96 and 2,883.21

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Solution

The fourth proportional to 3,821.70, 5,728.96 and 2,883.21 is: 4,322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.70 : 5,728.96 = 2,883.21 : x
  2. Step 2: Convert to fraction form
    3,821.70/5,728.96 = 2,883.21/x
  3. Step 3: Cross multiply
    3,821.70x = 5,728.96 × 2,883.21
  4. Step 4: Simplify right side
    3,821.70x = 16,517,794.76
  5. Step 5: Solve for x
    x = 16,517,794.76/3,821.70
  6. Step 6: Final answer
    x = 4,322.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.