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Finding the Fourth Proportional to 3,999.81, 5,994.24 and 2,539.98

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Solution

The fourth proportional to 3,999.81, 5,994.24 and 2,539.98 is: 3,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.81 : 5,994.24 = 2,539.98 : x
  2. Step 2: Convert to fraction form
    3,999.81/5,994.24 = 2,539.98/x
  3. Step 3: Cross multiply
    3,999.81x = 5,994.24 × 2,539.98
  4. Step 4: Simplify right side
    3,999.81x = 15,225,249.72
  5. Step 5: Solve for x
    x = 15,225,249.72/3,999.81
  6. Step 6: Final answer
    x = 3,806.49

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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.