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Finding the Fourth Proportional to 3,863.92, 5,794.66 and 1,266.26

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Solution

The fourth proportional to 3,863.92, 5,794.66 and 1,266.26 is: 1,898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.92 : 5,794.66 = 1,266.26 : x
  2. Step 2: Convert to fraction form
    3,863.92/5,794.66 = 1,266.26/x
  3. Step 3: Cross multiply
    3,863.92x = 5,794.66 × 1,266.26
  4. Step 4: Simplify right side
    3,863.92x = 7,337,546.17
  5. Step 5: Solve for x
    x = 7,337,546.17/3,863.92
  6. Step 6: Final answer
    x = 1,898.99

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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.