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Finding the Fourth Proportional to 4,906.20, 6,776.16 and 3,800.55

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Solution

The fourth proportional to 4,906.20, 6,776.16 and 3,800.55 is: 5,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.20 : 6,776.16 = 3,800.55 : x
  2. Step 2: Convert to fraction form
    4,906.20/6,776.16 = 3,800.55/x
  3. Step 3: Cross multiply
    4,906.20x = 6,776.16 × 3,800.55
  4. Step 4: Simplify right side
    4,906.20x = 25,753,134.89
  5. Step 5: Solve for x
    x = 25,753,134.89/4,906.20
  6. Step 6: Final answer
    x = 5,249.10

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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.