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Finding the Fourth Proportional to 5,786.92, 8,683.08 and 3,446.86

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Solution

The fourth proportional to 5,786.92, 8,683.08 and 3,446.86 is: 5,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.92 : 8,683.08 = 3,446.86 : x
  2. Step 2: Convert to fraction form
    5,786.92/8,683.08 = 3,446.86/x
  3. Step 3: Cross multiply
    5,786.92x = 8,683.08 × 3,446.86
  4. Step 4: Simplify right side
    5,786.92x = 29,929,361.13
  5. Step 5: Solve for x
    x = 29,929,361.13/5,786.92
  6. Step 6: Final answer
    x = 5,171.90

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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.