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Finding the Fourth Proportional to 3,667.41, 5,057.24 and 2,549.61

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Solution

The fourth proportional to 3,667.41, 5,057.24 and 2,549.61 is: 3,515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.41 : 5,057.24 = 2,549.61 : x
  2. Step 2: Convert to fraction form
    3,667.41/5,057.24 = 2,549.61/x
  3. Step 3: Cross multiply
    3,667.41x = 5,057.24 × 2,549.61
  4. Step 4: Simplify right side
    3,667.41x = 12,893,976.93
  5. Step 5: Solve for x
    x = 12,893,976.93/3,667.41
  6. Step 6: Final answer
    x = 3,515.83

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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.