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Finding the Fourth Proportional to 4,145.94, 6,218.91 and 3,413.99

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Solution

The fourth proportional to 4,145.94, 6,218.91 and 3,413.99 is: 5,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.94 : 6,218.91 = 3,413.99 : x
  2. Step 2: Convert to fraction form
    4,145.94/6,218.91 = 3,413.99/x
  3. Step 3: Cross multiply
    4,145.94x = 6,218.91 × 3,413.99
  4. Step 4: Simplify right side
    4,145.94x = 21,231,312.10
  5. Step 5: Solve for x
    x = 21,231,312.10/4,145.94
  6. Step 6: Final answer
    x = 5,120.99

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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.