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Finding the Fourth Proportional to 4,022.60, 5,998.22 and 3,754.49

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Solution

The fourth proportional to 4,022.60, 5,998.22 and 3,754.49 is: 5,598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,022.60 : 5,998.22 = 3,754.49 : x
  2. Step 2: Convert to fraction form
    4,022.60/5,998.22 = 3,754.49/x
  3. Step 3: Cross multiply
    4,022.60x = 5,998.22 × 3,754.49
  4. Step 4: Simplify right side
    4,022.60x = 22,520,222.32
  5. Step 5: Solve for x
    x = 22,520,222.32/4,022.60
  6. Step 6: Final answer
    x = 5,598.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.