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Finding the Fourth Proportional to 4,923.72, 7,380.76 and 3,163.80

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Solution

The fourth proportional to 4,923.72, 7,380.76 and 3,163.80 is: 4,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.72 : 7,380.76 = 3,163.80 : x
  2. Step 2: Convert to fraction form
    4,923.72/7,380.76 = 3,163.80/x
  3. Step 3: Cross multiply
    4,923.72x = 7,380.76 × 3,163.80
  4. Step 4: Simplify right side
    4,923.72x = 23,351,248.49
  5. Step 5: Solve for x
    x = 23,351,248.49/4,923.72
  6. Step 6: Final answer
    x = 4,742.60

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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.