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Finding the Fourth Proportional to 4,622.69, 6,937.64 and 3,226.97

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Solution

The fourth proportional to 4,622.69, 6,937.64 and 3,226.97 is: 4,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.69 : 6,937.64 = 3,226.97 : x
  2. Step 2: Convert to fraction form
    4,622.69/6,937.64 = 3,226.97/x
  3. Step 3: Cross multiply
    4,622.69x = 6,937.64 × 3,226.97
  4. Step 4: Simplify right side
    4,622.69x = 22,387,505.33
  5. Step 5: Solve for x
    x = 22,387,505.33/4,622.69
  6. Step 6: Final answer
    x = 4,842.96

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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.