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Finding the Fourth Proportional to 4,571.26, 6,843 and 2,928.97

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Solution

The fourth proportional to 4,571.26, 6,843 and 2,928.97 is: 4,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.26 : 6,843 = 2,928.97 : x
  2. Step 2: Convert to fraction form
    4,571.26/6,843 = 2,928.97/x
  3. Step 3: Cross multiply
    4,571.26x = 6,843 × 2,928.97
  4. Step 4: Simplify right side
    4,571.26x = 20,042,941.71
  5. Step 5: Solve for x
    x = 20,042,941.71/4,571.26
  6. Step 6: Final answer
    x = 4,384.56

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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.