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Finding the Fourth Proportional to 5,219.74, 7,203.23 and 2,861.87

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Solution

The fourth proportional to 5,219.74, 7,203.23 and 2,861.87 is: 3,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.74 : 7,203.23 = 2,861.87 : x
  2. Step 2: Convert to fraction form
    5,219.74/7,203.23 = 2,861.87/x
  3. Step 3: Cross multiply
    5,219.74x = 7,203.23 × 2,861.87
  4. Step 4: Simplify right side
    5,219.74x = 20,614,707.84
  5. Step 5: Solve for x
    x = 20,614,707.84/5,219.74
  6. Step 6: Final answer
    x = 3,949.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.