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Finding the Fourth Proportional to 3,737.96, 5,157.11 and 2,321.15

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Solution

The fourth proportional to 3,737.96, 5,157.11 and 2,321.15 is: 3,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.96 : 5,157.11 = 2,321.15 : x
  2. Step 2: Convert to fraction form
    3,737.96/5,157.11 = 2,321.15/x
  3. Step 3: Cross multiply
    3,737.96x = 5,157.11 × 2,321.15
  4. Step 4: Simplify right side
    3,737.96x = 11,970,388.49
  5. Step 5: Solve for x
    x = 11,970,388.49/3,737.96
  6. Step 6: Final answer
    x = 3,202.39

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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.