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Finding the Fourth Proportional to 3,471.92, 5,214.03 and 3,328.41

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Solution

The fourth proportional to 3,471.92, 5,214.03 and 3,328.41 is: 4,998.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.92 : 5,214.03 = 3,328.41 : x
  2. Step 2: Convert to fraction form
    3,471.92/5,214.03 = 3,328.41/x
  3. Step 3: Cross multiply
    3,471.92x = 5,214.03 × 3,328.41
  4. Step 4: Simplify right side
    3,471.92x = 17,354,429.59
  5. Step 5: Solve for x
    x = 17,354,429.59/3,471.92
  6. Step 6: Final answer
    x = 4,998.51

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Why These Related Problems?

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