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Finding the Fourth Proportional to 5,627.52, 7,766.42 and 3,269.84

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Solution

The fourth proportional to 5,627.52, 7,766.42 and 3,269.84 is: 4,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.52 : 7,766.42 = 3,269.84 : x
  2. Step 2: Convert to fraction form
    5,627.52/7,766.42 = 3,269.84/x
  3. Step 3: Cross multiply
    5,627.52x = 7,766.42 × 3,269.84
  4. Step 4: Simplify right side
    5,627.52x = 25,394,895.59
  5. Step 5: Solve for x
    x = 25,394,895.59/5,627.52
  6. Step 6: Final answer
    x = 4,512.63

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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.