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Finding the Fourth Proportional to 3,706.41, 5,114.79 and 2,027.86

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Solution

The fourth proportional to 3,706.41, 5,114.79 and 2,027.86 is: 2,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.41 : 5,114.79 = 2,027.86 : x
  2. Step 2: Convert to fraction form
    3,706.41/5,114.79 = 2,027.86/x
  3. Step 3: Cross multiply
    3,706.41x = 5,114.79 × 2,027.86
  4. Step 4: Simplify right side
    3,706.41x = 10,372,078.05
  5. Step 5: Solve for x
    x = 10,372,078.05/3,706.41
  6. Step 6: Final answer
    x = 2,798.42

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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.