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Finding the Fourth Proportional to 5,234.02, 7,223.97 and 3,245.46

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Solution

The fourth proportional to 5,234.02, 7,223.97 and 3,245.46 is: 4,479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.02 : 7,223.97 = 3,245.46 : x
  2. Step 2: Convert to fraction form
    5,234.02/7,223.97 = 3,245.46/x
  3. Step 3: Cross multiply
    5,234.02x = 7,223.97 × 3,245.46
  4. Step 4: Simplify right side
    5,234.02x = 23,445,105.68
  5. Step 5: Solve for x
    x = 23,445,105.68/5,234.02
  6. Step 6: Final answer
    x = 4,479.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.