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Finding the Fourth Proportional to 6,439.87, 9,661.07 and 2,057.59

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Solution

The fourth proportional to 6,439.87, 9,661.07 and 2,057.59 is: 3,086.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.87 : 9,661.07 = 2,057.59 : x
  2. Step 2: Convert to fraction form
    6,439.87/9,661.07 = 2,057.59/x
  3. Step 3: Cross multiply
    6,439.87x = 9,661.07 × 2,057.59
  4. Step 4: Simplify right side
    6,439.87x = 19,878,510.73
  5. Step 5: Solve for x
    x = 19,878,510.73/6,439.87
  6. Step 6: Final answer
    x = 3,086.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.