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Finding the Fourth Proportional to 3,293.75, 4,546.19 and 1,968.24

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Solution

The fourth proportional to 3,293.75, 4,546.19 and 1,968.24 is: 2,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.75 : 4,546.19 = 1,968.24 : x
  2. Step 2: Convert to fraction form
    3,293.75/4,546.19 = 1,968.24/x
  3. Step 3: Cross multiply
    3,293.75x = 4,546.19 × 1,968.24
  4. Step 4: Simplify right side
    3,293.75x = 8,948,014.97
  5. Step 5: Solve for x
    x = 8,948,014.97/3,293.75
  6. Step 6: Final answer
    x = 2,716.66

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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.