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Finding the Fourth Proportional to 5,713.44, 8,571.24 and 3,868.80

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Solution

The fourth proportional to 5,713.44, 8,571.24 and 3,868.80 is: 5,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.44 : 8,571.24 = 3,868.80 : x
  2. Step 2: Convert to fraction form
    5,713.44/8,571.24 = 3,868.80/x
  3. Step 3: Cross multiply
    5,713.44x = 8,571.24 × 3,868.80
  4. Step 4: Simplify right side
    5,713.44x = 33,160,413.31
  5. Step 5: Solve for x
    x = 33,160,413.31/5,713.44
  6. Step 6: Final answer
    x = 5,803.93

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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.