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Finding the Fourth Proportional to 5,993.57, 8,994.40 and 2,098.01

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Solution

The fourth proportional to 5,993.57, 8,994.40 and 2,098.01 is: 3,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.57 : 8,994.40 = 2,098.01 : x
  2. Step 2: Convert to fraction form
    5,993.57/8,994.40 = 2,098.01/x
  3. Step 3: Cross multiply
    5,993.57x = 8,994.40 × 2,098.01
  4. Step 4: Simplify right side
    5,993.57x = 18,870,341.14
  5. Step 5: Solve for x
    x = 18,870,341.14/5,993.57
  6. Step 6: Final answer
    x = 3,148.43

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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.