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Finding the Fourth Proportional to 4,238.15, 5,845.43 and 3,713.27

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Solution

The fourth proportional to 4,238.15, 5,845.43 and 3,713.27 is: 5,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.15 : 5,845.43 = 3,713.27 : x
  2. Step 2: Convert to fraction form
    4,238.15/5,845.43 = 3,713.27/x
  3. Step 3: Cross multiply
    4,238.15x = 5,845.43 × 3,713.27
  4. Step 4: Simplify right side
    4,238.15x = 21,705,612.06
  5. Step 5: Solve for x
    x = 21,705,612.06/4,238.15
  6. Step 6: Final answer
    x = 5,121.49

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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.