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Finding the Fourth Proportional to 3,399.32, 5,098.82 and 1,994.50

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Solution

The fourth proportional to 3,399.32, 5,098.82 and 1,994.50 is: 2,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.32 : 5,098.82 = 1,994.50 : x
  2. Step 2: Convert to fraction form
    3,399.32/5,098.82 = 1,994.50/x
  3. Step 3: Cross multiply
    3,399.32x = 5,098.82 × 1,994.50
  4. Step 4: Simplify right side
    3,399.32x = 10,169,596.49
  5. Step 5: Solve for x
    x = 10,169,596.49/3,399.32
  6. Step 6: Final answer
    x = 2,991.66

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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.