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Finding the Fourth Proportional to 4,944.94, 7,418.22 and 2,022.46

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Solution

The fourth proportional to 4,944.94, 7,418.22 and 2,022.46 is: 3,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.94 : 7,418.22 = 2,022.46 : x
  2. Step 2: Convert to fraction form
    4,944.94/7,418.22 = 2,022.46/x
  3. Step 3: Cross multiply
    4,944.94x = 7,418.22 × 2,022.46
  4. Step 4: Simplify right side
    4,944.94x = 15,003,053.22
  5. Step 5: Solve for x
    x = 15,003,053.22/4,944.94
  6. Step 6: Final answer
    x = 3,034.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.