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Finding the Fourth Proportional to 4,257.26, 6,382.10 and 1,659.60

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Solution

The fourth proportional to 4,257.26, 6,382.10 and 1,659.60 is: 2,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.26 : 6,382.10 = 1,659.60 : x
  2. Step 2: Convert to fraction form
    4,257.26/6,382.10 = 1,659.60/x
  3. Step 3: Cross multiply
    4,257.26x = 6,382.10 × 1,659.60
  4. Step 4: Simplify right side
    4,257.26x = 10,591,733.16
  5. Step 5: Solve for x
    x = 10,591,733.16/4,257.26
  6. Step 6: Final answer
    x = 2,487.92

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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.