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Finding the Fourth Proportional to 3,857.92, 5,785.83 and 1,084.42

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Solution

The fourth proportional to 3,857.92, 5,785.83 and 1,084.42 is: 1,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.92 : 5,785.83 = 1,084.42 : x
  2. Step 2: Convert to fraction form
    3,857.92/5,785.83 = 1,084.42/x
  3. Step 3: Cross multiply
    3,857.92x = 5,785.83 × 1,084.42
  4. Step 4: Simplify right side
    3,857.92x = 6,274,269.77
  5. Step 5: Solve for x
    x = 6,274,269.77/3,857.92
  6. Step 6: Final answer
    x = 1,626.33

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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.