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Finding the Fourth Proportional to 3,705.86, 5,114.09 and 2,027.29

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Solution

The fourth proportional to 3,705.86, 5,114.09 and 2,027.29 is: 2,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.86 : 5,114.09 = 2,027.29 : x
  2. Step 2: Convert to fraction form
    3,705.86/5,114.09 = 2,027.29/x
  3. Step 3: Cross multiply
    3,705.86x = 5,114.09 × 2,027.29
  4. Step 4: Simplify right side
    3,705.86x = 10,367,743.52
  5. Step 5: Solve for x
    x = 10,367,743.52/3,705.86
  6. Step 6: Final answer
    x = 2,797.66

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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.