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Finding the Fourth Proportional to 2,986.72, 4,109.86 and 2,707.27

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Solution

The fourth proportional to 2,986.72, 4,109.86 and 2,707.27 is: 3,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.72 : 4,109.86 = 2,707.27 : x
  2. Step 2: Convert to fraction form
    2,986.72/4,109.86 = 2,707.27/x
  3. Step 3: Cross multiply
    2,986.72x = 4,109.86 × 2,707.27
  4. Step 4: Simplify right side
    2,986.72x = 11,126,500.68
  5. Step 5: Solve for x
    x = 11,126,500.68/2,986.72
  6. Step 6: Final answer
    x = 3,725.32

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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.