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Finding the Fourth Proportional to 3,863.14, 5,795.61 and 1,265.92

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Solution

The fourth proportional to 3,863.14, 5,795.61 and 1,265.92 is: 1,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.14 : 5,795.61 = 1,265.92 : x
  2. Step 2: Convert to fraction form
    3,863.14/5,795.61 = 1,265.92/x
  3. Step 3: Cross multiply
    3,863.14x = 5,795.61 × 1,265.92
  4. Step 4: Simplify right side
    3,863.14x = 7,336,778.61
  5. Step 5: Solve for x
    x = 7,336,778.61/3,863.14
  6. Step 6: Final answer
    x = 1,899.17

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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.