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Finding the Fourth Proportional to 3,638.37, 5,449.43 and 3,163.76

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Solution

The fourth proportional to 3,638.37, 5,449.43 and 3,163.76 is: 4,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.37 : 5,449.43 = 3,163.76 : x
  2. Step 2: Convert to fraction form
    3,638.37/5,449.43 = 3,163.76/x
  3. Step 3: Cross multiply
    3,638.37x = 5,449.43 × 3,163.76
  4. Step 4: Simplify right side
    3,638.37x = 17,240,671.96
  5. Step 5: Solve for x
    x = 17,240,671.96/3,638.37
  6. Step 6: Final answer
    x = 4,738.57

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