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Finding the Fourth Proportional to 5,738.24, 8,611.51 and 2,040.50

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Solution

The fourth proportional to 5,738.24, 8,611.51 and 2,040.50 is: 3,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.24 : 8,611.51 = 2,040.50 : x
  2. Step 2: Convert to fraction form
    5,738.24/8,611.51 = 2,040.50/x
  3. Step 3: Cross multiply
    5,738.24x = 8,611.51 × 2,040.50
  4. Step 4: Simplify right side
    5,738.24x = 17,571,786.16
  5. Step 5: Solve for x
    x = 17,571,786.16/5,738.24
  6. Step 6: Final answer
    x = 3,062.23

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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.