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Finding the Fourth Proportional to 3,105.65, 4,284.37 and 2,751.93

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Solution

The fourth proportional to 3,105.65, 4,284.37 and 2,751.93 is: 3,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.65 : 4,284.37 = 2,751.93 : x
  2. Step 2: Convert to fraction form
    3,105.65/4,284.37 = 2,751.93/x
  3. Step 3: Cross multiply
    3,105.65x = 4,284.37 × 2,751.93
  4. Step 4: Simplify right side
    3,105.65x = 11,790,286.33
  5. Step 5: Solve for x
    x = 11,790,286.33/3,105.65
  6. Step 6: Final answer
    x = 3,796.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.