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Finding the Fourth Proportional to 5,219.64, 7,203.05 and 2,861.77

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Solution

The fourth proportional to 5,219.64, 7,203.05 and 2,861.77 is: 3,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.64 : 7,203.05 = 2,861.77 : x
  2. Step 2: Convert to fraction form
    5,219.64/7,203.05 = 2,861.77/x
  3. Step 3: Cross multiply
    5,219.64x = 7,203.05 × 2,861.77
  4. Step 4: Simplify right side
    5,219.64x = 20,613,458.09
  5. Step 5: Solve for x
    x = 20,613,458.09/5,219.64
  6. Step 6: Final answer
    x = 3,949.21

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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.