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Finding the Fourth Proportional to 3,759.62, 5,188.34 and 2,080.98

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Solution

The fourth proportional to 3,759.62, 5,188.34 and 2,080.98 is: 2,871.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.62 : 5,188.34 = 2,080.98 : x
  2. Step 2: Convert to fraction form
    3,759.62/5,188.34 = 2,080.98/x
  3. Step 3: Cross multiply
    3,759.62x = 5,188.34 × 2,080.98
  4. Step 4: Simplify right side
    3,759.62x = 10,796,821.37
  5. Step 5: Solve for x
    x = 10,796,821.37/3,759.62
  6. Step 6: Final answer
    x = 2,871.79

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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.