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Finding the Fourth Proportional to 5,627.34, 7,766.91 and 3,269.34

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Solution

The fourth proportional to 5,627.34, 7,766.91 and 3,269.34 is: 4,512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.34 : 7,766.91 = 3,269.34 : x
  2. Step 2: Convert to fraction form
    5,627.34/7,766.91 = 3,269.34/x
  3. Step 3: Cross multiply
    5,627.34x = 7,766.91 × 3,269.34
  4. Step 4: Simplify right side
    5,627.34x = 25,392,669.54
  5. Step 5: Solve for x
    x = 25,392,669.54/5,627.34
  6. Step 6: Final answer
    x = 4,512.38

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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.