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Finding the Fourth Proportional to 3,494.22, 4,821.93 and 1,922.33

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Solution

The fourth proportional to 3,494.22, 4,821.93 and 1,922.33 is: 2,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.22 : 4,821.93 = 1,922.33 : x
  2. Step 2: Convert to fraction form
    3,494.22/4,821.93 = 1,922.33/x
  3. Step 3: Cross multiply
    3,494.22x = 4,821.93 × 1,922.33
  4. Step 4: Simplify right side
    3,494.22x = 9,269,316.59
  5. Step 5: Solve for x
    x = 9,269,316.59/3,494.22
  6. Step 6: Final answer
    x = 2,652.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.