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Finding the Fourth Proportional to 4,914.73, 7,375.13 and 1,993.06

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Solution

The fourth proportional to 4,914.73, 7,375.13 and 1,993.06 is: 2,990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.73 : 7,375.13 = 1,993.06 : x
  2. Step 2: Convert to fraction form
    4,914.73/7,375.13 = 1,993.06/x
  3. Step 3: Cross multiply
    4,914.73x = 7,375.13 × 1,993.06
  4. Step 4: Simplify right side
    4,914.73x = 14,699,029.76
  5. Step 5: Solve for x
    x = 14,699,029.76/4,914.73
  6. Step 6: Final answer
    x = 2,990.81

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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.