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Finding the Fourth Proportional to 5,728.76, 7,906.08 and 3,339.44

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Solution

The fourth proportional to 5,728.76, 7,906.08 and 3,339.44 is: 4,608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.76 : 7,906.08 = 3,339.44 : x
  2. Step 2: Convert to fraction form
    5,728.76/7,906.08 = 3,339.44/x
  3. Step 3: Cross multiply
    5,728.76x = 7,906.08 × 3,339.44
  4. Step 4: Simplify right side
    5,728.76x = 26,401,879.80
  5. Step 5: Solve for x
    x = 26,401,879.80/5,728.76
  6. Step 6: Final answer
    x = 4,608.66

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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.