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Finding the Fourth Proportional to 5,206.96, 7,800.63 and 2,571.38

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Solution

The fourth proportional to 5,206.96, 7,800.63 and 2,571.38 is: 3,852.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.96 : 7,800.63 = 2,571.38 : x
  2. Step 2: Convert to fraction form
    5,206.96/7,800.63 = 2,571.38/x
  3. Step 3: Cross multiply
    5,206.96x = 7,800.63 × 2,571.38
  4. Step 4: Simplify right side
    5,206.96x = 20,058,413.11
  5. Step 5: Solve for x
    x = 20,058,413.11/5,206.96
  6. Step 6: Final answer
    x = 3,852.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.