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Finding the Fourth Proportional to 4,169.16, 6,224.49 and 3,440.16

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Solution

The fourth proportional to 4,169.16, 6,224.49 and 3,440.16 is: 5,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.16 : 6,224.49 = 3,440.16 : x
  2. Step 2: Convert to fraction form
    4,169.16/6,224.49 = 3,440.16/x
  3. Step 3: Cross multiply
    4,169.16x = 6,224.49 × 3,440.16
  4. Step 4: Simplify right side
    4,169.16x = 21,413,241.52
  5. Step 5: Solve for x
    x = 21,413,241.52/4,169.16
  6. Step 6: Final answer
    x = 5,136.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.