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Finding the Fourth Proportional to 4,389.75, 6,584.63 and 2,747.61

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Solution

The fourth proportional to 4,389.75, 6,584.63 and 2,747.61 is: 4,121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,389.75 : 6,584.63 = 2,747.61 : x
  2. Step 2: Convert to fraction form
    4,389.75/6,584.63 = 2,747.61/x
  3. Step 3: Cross multiply
    4,389.75x = 6,584.63 × 2,747.61
  4. Step 4: Simplify right side
    4,389.75x = 18,091,981.50
  5. Step 5: Solve for x
    x = 18,091,981.50/4,389.75
  6. Step 6: Final answer
    x = 4,121.42

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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.