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Finding the Fourth Proportional to 3,678.75, 5,076.68 and 2,022.75

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Solution

The fourth proportional to 3,678.75, 5,076.68 and 2,022.75 is: 2,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.75 : 5,076.68 = 2,022.75 : x
  2. Step 2: Convert to fraction form
    3,678.75/5,076.68 = 2,022.75/x
  3. Step 3: Cross multiply
    3,678.75x = 5,076.68 × 2,022.75
  4. Step 4: Simplify right side
    3,678.75x = 10,268,844.36
  5. Step 5: Solve for x
    x = 10,268,844.36/3,678.75
  6. Step 6: Final answer
    x = 2,791.40

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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.