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Finding the Fourth Proportional to 3,287.74, 4,533 and 2,861.73

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Solution

The fourth proportional to 3,287.74, 4,533 and 2,861.73 is: 3,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.74 : 4,533 = 2,861.73 : x
  2. Step 2: Convert to fraction form
    3,287.74/4,533 = 2,861.73/x
  3. Step 3: Cross multiply
    3,287.74x = 4,533 × 2,861.73
  4. Step 4: Simplify right side
    3,287.74x = 12,972,222.09
  5. Step 5: Solve for x
    x = 12,972,222.09/3,287.74
  6. Step 6: Final answer
    x = 3,945.64

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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.