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Finding the Fourth Proportional to 4,811.62, 6,638.16 and 2,821.44

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Solution

The fourth proportional to 4,811.62, 6,638.16 and 2,821.44 is: 3,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.62 : 6,638.16 = 2,821.44 : x
  2. Step 2: Convert to fraction form
    4,811.62/6,638.16 = 2,821.44/x
  3. Step 3: Cross multiply
    4,811.62x = 6,638.16 × 2,821.44
  4. Step 4: Simplify right side
    4,811.62x = 18,729,170.15
  5. Step 5: Solve for x
    x = 18,729,170.15/4,811.62
  6. Step 6: Final answer
    x = 3,892.49

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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.