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Finding the Fourth Proportional to 3,234.72, 4,812.24 and 3,223.20

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Solution

The fourth proportional to 3,234.72, 4,812.24 and 3,223.20 is: 4,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.72 : 4,812.24 = 3,223.20 : x
  2. Step 2: Convert to fraction form
    3,234.72/4,812.24 = 3,223.20/x
  3. Step 3: Cross multiply
    3,234.72x = 4,812.24 × 3,223.20
  4. Step 4: Simplify right side
    3,234.72x = 15,510,811.97
  5. Step 5: Solve for x
    x = 15,510,811.97/3,234.72
  6. Step 6: Final answer
    x = 4,795.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.