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Finding the Fourth Proportional to 3,706.41, 5,114.84 and 2,027.85

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Solution

The fourth proportional to 3,706.41, 5,114.84 and 2,027.85 is: 2,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.41 : 5,114.84 = 2,027.85 : x
  2. Step 2: Convert to fraction form
    3,706.41/5,114.84 = 2,027.85/x
  3. Step 3: Cross multiply
    3,706.41x = 5,114.84 × 2,027.85
  4. Step 4: Simplify right side
    3,706.41x = 10,372,118.15
  5. Step 5: Solve for x
    x = 10,372,118.15/3,706.41
  6. Step 6: Final answer
    x = 2,798.43

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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.