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Finding the Fourth Proportional to 5,993.62, 8,994.57 and 2,098

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Solution

The fourth proportional to 5,993.62, 8,994.57 and 2,098 is: 3,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.62 : 8,994.57 = 2,098 : x
  2. Step 2: Convert to fraction form
    5,993.62/8,994.57 = 2,098/x
  3. Step 3: Cross multiply
    5,993.62x = 8,994.57 × 2,098
  4. Step 4: Simplify right side
    5,993.62x = 18,870,607.86
  5. Step 5: Solve for x
    x = 18,870,607.86/5,993.62
  6. Step 6: Final answer
    x = 3,148.45

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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.