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Finding the Fourth Proportional to 4,172.69, 6,257.01 and 2,091.80

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Solution

The fourth proportional to 4,172.69, 6,257.01 and 2,091.80 is: 3,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.69 : 6,257.01 = 2,091.80 : x
  2. Step 2: Convert to fraction form
    4,172.69/6,257.01 = 2,091.80/x
  3. Step 3: Cross multiply
    4,172.69x = 6,257.01 × 2,091.80
  4. Step 4: Simplify right side
    4,172.69x = 13,088,413.52
  5. Step 5: Solve for x
    x = 13,088,413.52/4,172.69
  6. Step 6: Final answer
    x = 3,136.68

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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.