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Finding the Fourth Proportional to 5,759.75, 7,946.42 and 3,771.41

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Solution

The fourth proportional to 5,759.75, 7,946.42 and 3,771.41 is: 5,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.75 : 7,946.42 = 3,771.41 : x
  2. Step 2: Convert to fraction form
    5,759.75/7,946.42 = 3,771.41/x
  3. Step 3: Cross multiply
    5,759.75x = 7,946.42 × 3,771.41
  4. Step 4: Simplify right side
    5,759.75x = 29,969,149.26
  5. Step 5: Solve for x
    x = 29,969,149.26/5,759.75
  6. Step 6: Final answer
    x = 5,203.21

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1.5x scale

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.