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Finding the Fourth Proportional to 4,571.97, 6,309.27 and 2,582.49

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Solution

The fourth proportional to 4,571.97, 6,309.27 and 2,582.49 is: 3,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.97 : 6,309.27 = 2,582.49 : x
  2. Step 2: Convert to fraction form
    4,571.97/6,309.27 = 2,582.49/x
  3. Step 3: Cross multiply
    4,571.97x = 6,309.27 × 2,582.49
  4. Step 4: Simplify right side
    4,571.97x = 16,293,626.68
  5. Step 5: Solve for x
    x = 16,293,626.68/4,571.97
  6. Step 6: Final answer
    x = 3,563.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.