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Finding the Fourth Proportional to 5,993.14, 8,989.71 and 2,096.65

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Solution

The fourth proportional to 5,993.14, 8,989.71 and 2,096.65 is: 3,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.14 : 8,989.71 = 2,096.65 : x
  2. Step 2: Convert to fraction form
    5,993.14/8,989.71 = 2,096.65/x
  3. Step 3: Cross multiply
    5,993.14x = 8,989.71 × 2,096.65
  4. Step 4: Simplify right side
    5,993.14x = 18,848,275.47
  5. Step 5: Solve for x
    x = 18,848,275.47/5,993.14
  6. Step 6: Final answer
    x = 3,144.98

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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.