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Finding the Fourth Proportional to 3,561.76, 4,912.43 and 3,323.03

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Solution

The fourth proportional to 3,561.76, 4,912.43 and 3,323.03 is: 4,583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.76 : 4,912.43 = 3,323.03 : x
  2. Step 2: Convert to fraction form
    3,561.76/4,912.43 = 3,323.03/x
  3. Step 3: Cross multiply
    3,561.76x = 4,912.43 × 3,323.03
  4. Step 4: Simplify right side
    3,561.76x = 16,324,164.54
  5. Step 5: Solve for x
    x = 16,324,164.54/3,561.76
  6. Step 6: Final answer
    x = 4,583.17

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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.