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Finding the Fourth Proportional to 3,287.96, 4,537.49 and 1,795.97

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Solution

The fourth proportional to 3,287.96, 4,537.49 and 1,795.97 is: 2,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.96 : 4,537.49 = 1,795.97 : x
  2. Step 2: Convert to fraction form
    3,287.96/4,537.49 = 1,795.97/x
  3. Step 3: Cross multiply
    3,287.96x = 4,537.49 × 1,795.97
  4. Step 4: Simplify right side
    3,287.96x = 8,149,177.72
  5. Step 5: Solve for x
    x = 8,149,177.72/3,287.96
  6. Step 6: Final answer
    x = 2,478.49

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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.