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Finding the Fourth Proportional to 3,293.75, 4,942.57 and 1,215.21

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Solution

The fourth proportional to 3,293.75, 4,942.57 and 1,215.21 is: 1,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.75 : 4,942.57 = 1,215.21 : x
  2. Step 2: Convert to fraction form
    3,293.75/4,942.57 = 1,215.21/x
  3. Step 3: Cross multiply
    3,293.75x = 4,942.57 × 1,215.21
  4. Step 4: Simplify right side
    3,293.75x = 6,006,229.70
  5. Step 5: Solve for x
    x = 6,006,229.70/3,293.75
  6. Step 6: Final answer
    x = 1,823.52

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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.