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Finding the Fourth Proportional to 3,998.52, 5,994.81 and 2,762.42

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Solution

The fourth proportional to 3,998.52, 5,994.81 and 2,762.42 is: 4,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.52 : 5,994.81 = 2,762.42 : x
  2. Step 2: Convert to fraction form
    3,998.52/5,994.81 = 2,762.42/x
  3. Step 3: Cross multiply
    3,998.52x = 5,994.81 × 2,762.42
  4. Step 4: Simplify right side
    3,998.52x = 16,560,153.07
  5. Step 5: Solve for x
    x = 16,560,153.07/3,998.52
  6. Step 6: Final answer
    x = 4,141.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.