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Finding the Fourth Proportional to 3,398.87, 5,096.25 and 1,731.96

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Solution

The fourth proportional to 3,398.87, 5,096.25 and 1,731.96 is: 2,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.87 : 5,096.25 = 1,731.96 : x
  2. Step 2: Convert to fraction form
    3,398.87/5,096.25 = 1,731.96/x
  3. Step 3: Cross multiply
    3,398.87x = 5,096.25 × 1,731.96
  4. Step 4: Simplify right side
    3,398.87x = 8,826,501.15
  5. Step 5: Solve for x
    x = 8,826,501.15/3,398.87
  6. Step 6: Final answer
    x = 2,596.90

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Why These Related Problems?

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