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Finding the Fourth Proportional to 3,705.70, 5,113.99 and 2,027.23

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Solution

The fourth proportional to 3,705.70, 5,113.99 and 2,027.23 is: 2,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.70 : 5,113.99 = 2,027.23 : x
  2. Step 2: Convert to fraction form
    3,705.70/5,113.99 = 2,027.23/x
  3. Step 3: Cross multiply
    3,705.70x = 5,113.99 × 2,027.23
  4. Step 4: Simplify right side
    3,705.70x = 10,367,212.29
  5. Step 5: Solve for x
    x = 10,367,212.29/3,705.70
  6. Step 6: Final answer
    x = 2,797.64

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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.