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Finding the Fourth Proportional to 5,809.26, 8,706.33 and 2,342.46

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Solution

The fourth proportional to 5,809.26, 8,706.33 and 2,342.46 is: 3,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.26 : 8,706.33 = 2,342.46 : x
  2. Step 2: Convert to fraction form
    5,809.26/8,706.33 = 2,342.46/x
  3. Step 3: Cross multiply
    5,809.26x = 8,706.33 × 2,342.46
  4. Step 4: Simplify right side
    5,809.26x = 20,394,229.77
  5. Step 5: Solve for x
    x = 20,394,229.77/5,809.26
  6. Step 6: Final answer
    x = 3,510.64

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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.