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Finding the Fourth Proportional to 5,743.44, 8,609 and 2,969.36

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Solution

The fourth proportional to 5,743.44, 8,609 and 2,969.36 is: 4,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.44 : 8,609 = 2,969.36 : x
  2. Step 2: Convert to fraction form
    5,743.44/8,609 = 2,969.36/x
  3. Step 3: Cross multiply
    5,743.44x = 8,609 × 2,969.36
  4. Step 4: Simplify right side
    5,743.44x = 25,563,220.24
  5. Step 5: Solve for x
    x = 25,563,220.24/5,743.44
  6. Step 6: Final answer
    x = 4,450.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.