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Finding the Fourth Proportional to 5,552.57, 7,662.78 and 3,194.70

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Solution

The fourth proportional to 5,552.57, 7,662.78 and 3,194.70 is: 4,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,552.57 : 7,662.78 = 3,194.70 : x
  2. Step 2: Convert to fraction form
    5,552.57/7,662.78 = 3,194.70/x
  3. Step 3: Cross multiply
    5,552.57x = 7,662.78 × 3,194.70
  4. Step 4: Simplify right side
    5,552.57x = 24,480,283.27
  5. Step 5: Solve for x
    x = 24,480,283.27/5,552.57
  6. Step 6: Final answer
    x = 4,408.82

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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.