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Finding the Fourth Proportional to 5,219.36, 7,202.84 and 2,861.63

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Solution

The fourth proportional to 5,219.36, 7,202.84 and 2,861.63 is: 3,949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.36 : 7,202.84 = 2,861.63 : x
  2. Step 2: Convert to fraction form
    5,219.36/7,202.84 = 2,861.63/x
  3. Step 3: Cross multiply
    5,219.36x = 7,202.84 × 2,861.63
  4. Step 4: Simplify right side
    5,219.36x = 20,611,863.03
  5. Step 5: Solve for x
    x = 20,611,863.03/5,219.36
  6. Step 6: Final answer
    x = 3,949.12

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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.