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Finding the Fourth Proportional to 5,993.24, 8,989.86 and 2,098.76

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Solution

The fourth proportional to 5,993.24, 8,989.86 and 2,098.76 is: 3,148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.24 : 8,989.86 = 2,098.76 : x
  2. Step 2: Convert to fraction form
    5,993.24/8,989.86 = 2,098.76/x
  3. Step 3: Cross multiply
    5,993.24x = 8,989.86 × 2,098.76
  4. Step 4: Simplify right side
    5,993.24x = 18,867,558.57
  5. Step 5: Solve for x
    x = 18,867,558.57/5,993.24
  6. Step 6: Final answer
    x = 3,148.14

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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.