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Finding the Fourth Proportional to 3,324.41, 4,947.36 and 3,213.67

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Solution

The fourth proportional to 3,324.41, 4,947.36 and 3,213.67 is: 4,782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.41 : 4,947.36 = 3,213.67 : x
  2. Step 2: Convert to fraction form
    3,324.41/4,947.36 = 3,213.67/x
  3. Step 3: Cross multiply
    3,324.41x = 4,947.36 × 3,213.67
  4. Step 4: Simplify right side
    3,324.41x = 15,899,190.45
  5. Step 5: Solve for x
    x = 15,899,190.45/3,324.41
  6. Step 6: Final answer
    x = 4,782.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.