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Finding the Fourth Proportional to 3,445.94, 5,169.12 and 1,137.44

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Solution

The fourth proportional to 3,445.94, 5,169.12 and 1,137.44 is: 1,706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.94 : 5,169.12 = 1,137.44 : x
  2. Step 2: Convert to fraction form
    3,445.94/5,169.12 = 1,137.44/x
  3. Step 3: Cross multiply
    3,445.94x = 5,169.12 × 1,137.44
  4. Step 4: Simplify right side
    3,445.94x = 5,879,563.85
  5. Step 5: Solve for x
    x = 5,879,563.85/3,445.94
  6. Step 6: Final answer
    x = 1,706.23

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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.