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Finding the Fourth Proportional to 5,993.68, 8,991 and 1,834.02

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Solution

The fourth proportional to 5,993.68, 8,991 and 1,834.02 is: 2,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.68 : 8,991 = 1,834.02 : x
  2. Step 2: Convert to fraction form
    5,993.68/8,991 = 1,834.02/x
  3. Step 3: Cross multiply
    5,993.68x = 8,991 × 1,834.02
  4. Step 4: Simplify right side
    5,993.68x = 16,489,673.82
  5. Step 5: Solve for x
    x = 16,489,673.82/5,993.68
  6. Step 6: Final answer
    x = 2,751.18

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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.