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Finding the Fourth Proportional to 4,287.69, 5,911.34 and 3,091.68

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Solution

The fourth proportional to 4,287.69, 5,911.34 and 3,091.68 is: 4,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.69 : 5,911.34 = 3,091.68 : x
  2. Step 2: Convert to fraction form
    4,287.69/5,911.34 = 3,091.68/x
  3. Step 3: Cross multiply
    4,287.69x = 5,911.34 × 3,091.68
  4. Step 4: Simplify right side
    4,287.69x = 18,275,942.09
  5. Step 5: Solve for x
    x = 18,275,942.09/4,287.69
  6. Step 6: Final answer
    x = 4,262.42

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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.