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Finding the Fourth Proportional to 4,814.34, 6,640.23 and 3,044.24

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Solution

The fourth proportional to 4,814.34, 6,640.23 and 3,044.24 is: 4,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.34 : 6,640.23 = 3,044.24 : x
  2. Step 2: Convert to fraction form
    4,814.34/6,640.23 = 3,044.24/x
  3. Step 3: Cross multiply
    4,814.34x = 6,640.23 × 3,044.24
  4. Step 4: Simplify right side
    4,814.34x = 20,214,420.57
  5. Step 5: Solve for x
    x = 20,214,420.57/4,814.34
  6. Step 6: Final answer
    x = 4,198.79

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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.