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Finding the Fourth Proportional to 3,450, 5,168.04 and 2,214.36

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Solution

The fourth proportional to 3,450, 5,168.04 and 2,214.36 is: 3,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450 : 5,168.04 = 2,214.36 : x
  2. Step 2: Convert to fraction form
    3,450/5,168.04 = 2,214.36/x
  3. Step 3: Cross multiply
    3,450x = 5,168.04 × 2,214.36
  4. Step 4: Simplify right side
    3,450x = 11,443,901.05
  5. Step 5: Solve for x
    x = 11,443,901.05/3,450
  6. Step 6: Final answer
    x = 3,317.07

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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.