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Finding the Fourth Proportional to 3,863.26, 5,795.70 and 1,266.40

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Solution

The fourth proportional to 3,863.26, 5,795.70 and 1,266.40 is: 1,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.26 : 5,795.70 = 1,266.40 : x
  2. Step 2: Convert to fraction form
    3,863.26/5,795.70 = 1,266.40/x
  3. Step 3: Cross multiply
    3,863.26x = 5,795.70 × 1,266.40
  4. Step 4: Simplify right side
    3,863.26x = 7,339,674.48
  5. Step 5: Solve for x
    x = 7,339,674.48/3,863.26
  6. Step 6: Final answer
    x = 1,899.87

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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.