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Finding the Fourth Proportional to 3,738.20, 5,607.29 and 964.85

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Solution

The fourth proportional to 3,738.20, 5,607.29 and 964.85 is: 1,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.20 : 5,607.29 = 964.85 : x
  2. Step 2: Convert to fraction form
    3,738.20/5,607.29 = 964.85/x
  3. Step 3: Cross multiply
    3,738.20x = 5,607.29 × 964.85
  4. Step 4: Simplify right side
    3,738.20x = 5,410,168.13
  5. Step 5: Solve for x
    x = 5,410,168.13/3,738.20
  6. Step 6: Final answer
    x = 1,447.27

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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.