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Finding the Fourth Proportional to 3,705.74, 5,113.88 and 2,027.14

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Solution

The fourth proportional to 3,705.74, 5,113.88 and 2,027.14 is: 2,797.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.74 : 5,113.88 = 2,027.14 : x
  2. Step 2: Convert to fraction form
    3,705.74/5,113.88 = 2,027.14/x
  3. Step 3: Cross multiply
    3,705.74x = 5,113.88 × 2,027.14
  4. Step 4: Simplify right side
    3,705.74x = 10,366,550.70
  5. Step 5: Solve for x
    x = 10,366,550.70/3,705.74
  6. Step 6: Final answer
    x = 2,797.43

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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.