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Finding the Fourth Proportional to 5,234.78, 7,223.18 and 3,348.05

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Solution

The fourth proportional to 5,234.78, 7,223.18 and 3,348.05 is: 4,619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.78 : 7,223.18 = 3,348.05 : x
  2. Step 2: Convert to fraction form
    5,234.78/7,223.18 = 3,348.05/x
  3. Step 3: Cross multiply
    5,234.78x = 7,223.18 × 3,348.05
  4. Step 4: Simplify right side
    5,234.78x = 24,183,514.94
  5. Step 5: Solve for x
    x = 24,183,514.94/5,234.78
  6. Step 6: Final answer
    x = 4,619.78

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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.