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Finding the Fourth Proportional to 5,552.08, 7,662.24 and 3,194.80

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Solution

The fourth proportional to 5,552.08, 7,662.24 and 3,194.80 is: 4,409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,552.08 : 7,662.24 = 3,194.80 : x
  2. Step 2: Convert to fraction form
    5,552.08/7,662.24 = 3,194.80/x
  3. Step 3: Cross multiply
    5,552.08x = 7,662.24 × 3,194.80
  4. Step 4: Simplify right side
    5,552.08x = 24,479,324.35
  5. Step 5: Solve for x
    x = 24,479,324.35/5,552.08
  6. Step 6: Final answer
    x = 4,409.04

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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.