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Finding the Fourth Proportional to 3,668.96, 5,062.08 and 2,096.96

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Solution

The fourth proportional to 3,668.96, 5,062.08 and 2,096.96 is: 2,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.96 : 5,062.08 = 2,096.96 : x
  2. Step 2: Convert to fraction form
    3,668.96/5,062.08 = 2,096.96/x
  3. Step 3: Cross multiply
    3,668.96x = 5,062.08 × 2,096.96
  4. Step 4: Simplify right side
    3,668.96x = 10,614,979.28
  5. Step 5: Solve for x
    x = 10,614,979.28/3,668.96
  6. Step 6: Final answer
    x = 2,893.18

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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.