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Finding the Fourth Proportional to 4,446.24, 6,668.43 and 2,042.22

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Solution

The fourth proportional to 4,446.24, 6,668.43 and 2,042.22 is: 3,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.24 : 6,668.43 = 2,042.22 : x
  2. Step 2: Convert to fraction form
    4,446.24/6,668.43 = 2,042.22/x
  3. Step 3: Cross multiply
    4,446.24x = 6,668.43 × 2,042.22
  4. Step 4: Simplify right side
    4,446.24x = 13,618,401.11
  5. Step 5: Solve for x
    x = 13,618,401.11/4,446.24
  6. Step 6: Final answer
    x = 3,062.90

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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.