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Finding the Fourth Proportional to 4,940.90, 6,814.52 and 3,733.61

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Solution

The fourth proportional to 4,940.90, 6,814.52 and 3,733.61 is: 5,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.90 : 6,814.52 = 3,733.61 : x
  2. Step 2: Convert to fraction form
    4,940.90/6,814.52 = 3,733.61/x
  3. Step 3: Cross multiply
    4,940.90x = 6,814.52 × 3,733.61
  4. Step 4: Simplify right side
    4,940.90x = 25,442,777.05
  5. Step 5: Solve for x
    x = 25,442,777.05/4,940.90
  6. Step 6: Final answer
    x = 5,149.42

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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.