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Finding the Fourth Proportional to 5,165.92, 7,738.26 and 3,494.80

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Solution

The fourth proportional to 5,165.92, 7,738.26 and 3,494.80 is: 5,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.92 : 7,738.26 = 3,494.80 : x
  2. Step 2: Convert to fraction form
    5,165.92/7,738.26 = 3,494.80/x
  3. Step 3: Cross multiply
    5,165.92x = 7,738.26 × 3,494.80
  4. Step 4: Simplify right side
    5,165.92x = 27,043,671.05
  5. Step 5: Solve for x
    x = 27,043,671.05/5,165.92
  6. Step 6: Final answer
    x = 5,235.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.