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Finding the Fourth Proportional to 3,725.93, 5,142.22 and 2,233.78

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Solution

The fourth proportional to 3,725.93, 5,142.22 and 2,233.78 is: 3,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.93 : 5,142.22 = 2,233.78 : x
  2. Step 2: Convert to fraction form
    3,725.93/5,142.22 = 2,233.78/x
  3. Step 3: Cross multiply
    3,725.93x = 5,142.22 × 2,233.78
  4. Step 4: Simplify right side
    3,725.93x = 11,486,569.75
  5. Step 5: Solve for x
    x = 11,486,569.75/3,725.93
  6. Step 6: Final answer
    x = 3,082.87

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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.