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Finding the Fourth Proportional to 4,141.92, 5,716.08 and 2,743.68

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Solution

The fourth proportional to 4,141.92, 5,716.08 and 2,743.68 is: 3,786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.92 : 5,716.08 = 2,743.68 : x
  2. Step 2: Convert to fraction form
    4,141.92/5,716.08 = 2,743.68/x
  3. Step 3: Cross multiply
    4,141.92x = 5,716.08 × 2,743.68
  4. Step 4: Simplify right side
    4,141.92x = 15,683,094.37
  5. Step 5: Solve for x
    x = 15,683,094.37/4,141.92
  6. Step 6: Final answer
    x = 3,786.43

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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.