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Finding the Fourth Proportional to 4,169.78, 5,744.48 and 2,908.56

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Solution

The fourth proportional to 4,169.78, 5,744.48 and 2,908.56 is: 4,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.78 : 5,744.48 = 2,908.56 : x
  2. Step 2: Convert to fraction form
    4,169.78/5,744.48 = 2,908.56/x
  3. Step 3: Cross multiply
    4,169.78x = 5,744.48 × 2,908.56
  4. Step 4: Simplify right side
    4,169.78x = 16,708,164.75
  5. Step 5: Solve for x
    x = 16,708,164.75/4,169.78
  6. Step 6: Final answer
    x = 4,006.97

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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.