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Finding the Fourth Proportional to 4,168.34, 5,728.24 and 3,975.60

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Solution

The fourth proportional to 4,168.34, 5,728.24 and 3,975.60 is: 5,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.34 : 5,728.24 = 3,975.60 : x
  2. Step 2: Convert to fraction form
    4,168.34/5,728.24 = 3,975.60/x
  3. Step 3: Cross multiply
    4,168.34x = 5,728.24 × 3,975.60
  4. Step 4: Simplify right side
    4,168.34x = 22,773,190.94
  5. Step 5: Solve for x
    x = 22,773,190.94/4,168.34
  6. Step 6: Final answer
    x = 5,463.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.