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Finding the Fourth Proportional to 4,906.83, 7,350.39 and 2,270.64

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Solution

The fourth proportional to 4,906.83, 7,350.39 and 2,270.64 is: 3,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.83 : 7,350.39 = 2,270.64 : x
  2. Step 2: Convert to fraction form
    4,906.83/7,350.39 = 2,270.64/x
  3. Step 3: Cross multiply
    4,906.83x = 7,350.39 × 2,270.64
  4. Step 4: Simplify right side
    4,906.83x = 16,690,089.55
  5. Step 5: Solve for x
    x = 16,690,089.55/4,906.83
  6. Step 6: Final answer
    x = 3,401.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.