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Finding the Fourth Proportional to 3,559.87, 4,912.61 and 1,987.96

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Solution

The fourth proportional to 3,559.87, 4,912.61 and 1,987.96 is: 2,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.87 : 4,912.61 = 1,987.96 : x
  2. Step 2: Convert to fraction form
    3,559.87/4,912.61 = 1,987.96/x
  3. Step 3: Cross multiply
    3,559.87x = 4,912.61 × 1,987.96
  4. Step 4: Simplify right side
    3,559.87x = 9,766,072.18
  5. Step 5: Solve for x
    x = 9,766,072.18/3,559.87
  6. Step 6: Final answer
    x = 2,743.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.