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Finding the Fourth Proportional to 3,469.44, 5,204.20 and 1,160.94

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Solution

The fourth proportional to 3,469.44, 5,204.20 and 1,160.94 is: 1,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.44 : 5,204.20 = 1,160.94 : x
  2. Step 2: Convert to fraction form
    3,469.44/5,204.20 = 1,160.94/x
  3. Step 3: Cross multiply
    3,469.44x = 5,204.20 × 1,160.94
  4. Step 4: Simplify right side
    3,469.44x = 6,041,763.95
  5. Step 5: Solve for x
    x = 6,041,763.95/3,469.44
  6. Step 6: Final answer
    x = 1,741.42

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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.