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Finding the Fourth Proportional to 4,243.27, 5,857.71 and 2,829.31

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Solution

The fourth proportional to 4,243.27, 5,857.71 and 2,829.31 is: 3,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.27 : 5,857.71 = 2,829.31 : x
  2. Step 2: Convert to fraction form
    4,243.27/5,857.71 = 2,829.31/x
  3. Step 3: Cross multiply
    4,243.27x = 5,857.71 × 2,829.31
  4. Step 4: Simplify right side
    4,243.27x = 16,573,277.48
  5. Step 5: Solve for x
    x = 16,573,277.48/4,243.27
  6. Step 6: Final answer
    x = 3,905.78

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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.