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Finding the Fourth Proportional to 5,584.28, 7,706.70 and 3,194.96

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Solution

The fourth proportional to 5,584.28, 7,706.70 and 3,194.96 is: 4,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.28 : 7,706.70 = 3,194.96 : x
  2. Step 2: Convert to fraction form
    5,584.28/7,706.70 = 3,194.96/x
  3. Step 3: Cross multiply
    5,584.28x = 7,706.70 × 3,194.96
  4. Step 4: Simplify right side
    5,584.28x = 24,622,559.70
  5. Step 5: Solve for x
    x = 24,622,559.70/5,584.28
  6. Step 6: Final answer
    x = 4,409.27

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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.