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Finding the Fourth Proportional to 5,993.64, 8,991 and 2,043.56

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Solution

The fourth proportional to 5,993.64, 8,991 and 2,043.56 is: 3,065.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.64 : 8,991 = 2,043.56 : x
  2. Step 2: Convert to fraction form
    5,993.64/8,991 = 2,043.56/x
  3. Step 3: Cross multiply
    5,993.64x = 8,991 × 2,043.56
  4. Step 4: Simplify right side
    5,993.64x = 18,373,670.44
  5. Step 5: Solve for x
    x = 18,373,670.44/5,993.64
  6. Step 6: Final answer
    x = 3,065.53

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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.