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Finding the Fourth Proportional to 5,522.96, 8,284.44 and 3,786.32

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Solution

The fourth proportional to 5,522.96, 8,284.44 and 3,786.32 is: 5,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.96 : 8,284.44 = 3,786.32 : x
  2. Step 2: Convert to fraction form
    5,522.96/8,284.44 = 3,786.32/x
  3. Step 3: Cross multiply
    5,522.96x = 8,284.44 × 3,786.32
  4. Step 4: Simplify right side
    5,522.96x = 31,367,540.86
  5. Step 5: Solve for x
    x = 31,367,540.86/5,522.96
  6. Step 6: Final answer
    x = 5,679.48

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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.