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Finding the Fourth Proportional to 3,677.37, 5,074.81 and 1,998.78

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Solution

The fourth proportional to 3,677.37, 5,074.81 and 1,998.78 is: 2,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.37 : 5,074.81 = 1,998.78 : x
  2. Step 2: Convert to fraction form
    3,677.37/5,074.81 = 1,998.78/x
  3. Step 3: Cross multiply
    3,677.37x = 5,074.81 × 1,998.78
  4. Step 4: Simplify right side
    3,677.37x = 10,143,445.26
  5. Step 5: Solve for x
    x = 10,143,445.26/3,677.37
  6. Step 6: Final answer
    x = 2,758.34

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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.