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Finding the Fourth Proportional to 5,993.53, 8,992.46 and 2,098.51

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Solution

The fourth proportional to 5,993.53, 8,992.46 and 2,098.51 is: 3,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.53 : 8,992.46 = 2,098.51 : x
  2. Step 2: Convert to fraction form
    5,993.53/8,992.46 = 2,098.51/x
  3. Step 3: Cross multiply
    5,993.53x = 8,992.46 × 2,098.51
  4. Step 4: Simplify right side
    5,993.53x = 18,870,756.74
  5. Step 5: Solve for x
    x = 18,870,756.74/5,993.53
  6. Step 6: Final answer
    x = 3,148.52

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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.