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Finding the Fourth Proportional to 3,757.17, 5,183.43 and 2,265.23

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Solution

The fourth proportional to 3,757.17, 5,183.43 and 2,265.23 is: 3,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.17 : 5,183.43 = 2,265.23 : x
  2. Step 2: Convert to fraction form
    3,757.17/5,183.43 = 2,265.23/x
  3. Step 3: Cross multiply
    3,757.17x = 5,183.43 × 2,265.23
  4. Step 4: Simplify right side
    3,757.17x = 11,741,661.14
  5. Step 5: Solve for x
    x = 11,741,661.14/3,757.17
  6. Step 6: Final answer
    x = 3,125.13

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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.