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Finding the Fourth Proportional to 3,559.81, 4,912.55 and 1,987.96

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Solution

The fourth proportional to 3,559.81, 4,912.55 and 1,987.96 is: 2,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.81 : 4,912.55 = 1,987.96 : x
  2. Step 2: Convert to fraction form
    3,559.81/4,912.55 = 1,987.96/x
  3. Step 3: Cross multiply
    3,559.81x = 4,912.55 × 1,987.96
  4. Step 4: Simplify right side
    3,559.81x = 9,765,942.96
  5. Step 5: Solve for x
    x = 9,765,942.96/3,559.81
  6. Step 6: Final answer
    x = 2,743.39

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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.