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Finding the Fourth Proportional to 3,559.82, 4,912.80 and 1,987.97

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Solution

The fourth proportional to 3,559.82, 4,912.80 and 1,987.97 is: 2,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.82 : 4,912.80 = 1,987.97 : x
  2. Step 2: Convert to fraction form
    3,559.82/4,912.80 = 1,987.97/x
  3. Step 3: Cross multiply
    3,559.82x = 4,912.80 × 1,987.97
  4. Step 4: Simplify right side
    3,559.82x = 9,766,499.02
  5. Step 5: Solve for x
    x = 9,766,499.02/3,559.82
  6. Step 6: Final answer
    x = 2,743.54

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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.