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Finding the Fourth Proportional to 2,668.19, 3,996.12 and 2,575.92

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Solution

The fourth proportional to 2,668.19, 3,996.12 and 2,575.92 is: 3,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.19 : 3,996.12 = 2,575.92 : x
  2. Step 2: Convert to fraction form
    2,668.19/3,996.12 = 2,575.92/x
  3. Step 3: Cross multiply
    2,668.19x = 3,996.12 × 2,575.92
  4. Step 4: Simplify right side
    2,668.19x = 10,293,685.43
  5. Step 5: Solve for x
    x = 10,293,685.43/2,668.19
  6. Step 6: Final answer
    x = 3,857.94

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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.