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Finding the Fourth Proportional to 4,636.96, 6,914.07 and 4,121.80

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Solution

The fourth proportional to 4,636.96, 6,914.07 and 4,121.80 is: 6,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.96 : 6,914.07 = 4,121.80 : x
  2. Step 2: Convert to fraction form
    4,636.96/6,914.07 = 4,121.80/x
  3. Step 3: Cross multiply
    4,636.96x = 6,914.07 × 4,121.80
  4. Step 4: Simplify right side
    4,636.96x = 28,498,413.73
  5. Step 5: Solve for x
    x = 28,498,413.73/4,636.96
  6. Step 6: Final answer
    x = 6,145.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.