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Finding the Fourth Proportional to 3,705.84, 5,113.91 and 2,027.20

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Solution

The fourth proportional to 3,705.84, 5,113.91 and 2,027.20 is: 2,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.84 : 5,113.91 = 2,027.20 : x
  2. Step 2: Convert to fraction form
    3,705.84/5,113.91 = 2,027.20/x
  3. Step 3: Cross multiply
    3,705.84x = 5,113.91 × 2,027.20
  4. Step 4: Simplify right side
    3,705.84x = 10,366,906.31
  5. Step 5: Solve for x
    x = 10,366,906.31/3,705.84
  6. Step 6: Final answer
    x = 2,797.45

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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.