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Finding the Fourth Proportional to 5,827.77, 8,735.49 and 4,183.43

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Solution

The fourth proportional to 5,827.77, 8,735.49 and 4,183.43 is: 6,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.77 : 8,735.49 = 4,183.43 : x
  2. Step 2: Convert to fraction form
    5,827.77/8,735.49 = 4,183.43/x
  3. Step 3: Cross multiply
    5,827.77x = 8,735.49 × 4,183.43
  4. Step 4: Simplify right side
    5,827.77x = 36,544,267.25
  5. Step 5: Solve for x
    x = 36,544,267.25/5,827.77
  6. Step 6: Final answer
    x = 6,270.71

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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.