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Finding the Fourth Proportional to 2,843.85, 3,939.73 and 2,775.81

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Solution

The fourth proportional to 2,843.85, 3,939.73 and 2,775.81 is: 3,845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.85 : 3,939.73 = 2,775.81 : x
  2. Step 2: Convert to fraction form
    2,843.85/3,939.73 = 2,775.81/x
  3. Step 3: Cross multiply
    2,843.85x = 3,939.73 × 2,775.81
  4. Step 4: Simplify right side
    2,843.85x = 10,935,941.93
  5. Step 5: Solve for x
    x = 10,935,941.93/2,843.85
  6. Step 6: Final answer
    x = 3,845.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.