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Finding the Fourth Proportional to 4,608.27, 6,873.57 and 4,469.94

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Solution

The fourth proportional to 4,608.27, 6,873.57 and 4,469.94 is: 6,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.27 : 6,873.57 = 4,469.94 : x
  2. Step 2: Convert to fraction form
    4,608.27/6,873.57 = 4,469.94/x
  3. Step 3: Cross multiply
    4,608.27x = 6,873.57 × 4,469.94
  4. Step 4: Simplify right side
    4,608.27x = 30,724,445.49
  5. Step 5: Solve for x
    x = 30,724,445.49/4,608.27
  6. Step 6: Final answer
    x = 6,667.24

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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.