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Finding the Fourth Proportional to 3,678, 5,075.64 and 2,022

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Solution

The fourth proportional to 3,678, 5,075.64 and 2,022 is: 2,790.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678 : 5,075.64 = 2,022 : x
  2. Step 2: Convert to fraction form
    3,678/5,075.64 = 2,022/x
  3. Step 3: Cross multiply
    3,678x = 5,075.64 × 2,022
  4. Step 4: Simplify right side
    3,678x = 10,262,944.08
  5. Step 5: Solve for x
    x = 10,262,944.08/3,678
  6. Step 6: Final answer
    x = 2,790.36

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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.