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Finding the Fourth Proportional to 3,444.69, 5,168.09 and 1,469.30

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Solution

The fourth proportional to 3,444.69, 5,168.09 and 1,469.30 is: 2,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.69 : 5,168.09 = 1,469.30 : x
  2. Step 2: Convert to fraction form
    3,444.69/5,168.09 = 1,469.30/x
  3. Step 3: Cross multiply
    3,444.69x = 5,168.09 × 1,469.30
  4. Step 4: Simplify right side
    3,444.69x = 7,593,441.45
  5. Step 5: Solve for x
    x = 7,593,441.45/3,444.69
  6. Step 6: Final answer
    x = 2,204.39

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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.