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Finding the Fourth Proportional to 3,413.94, 5,119.97 and 1,465.70

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Solution

The fourth proportional to 3,413.94, 5,119.97 and 1,465.70 is: 2,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.94 : 5,119.97 = 1,465.70 : x
  2. Step 2: Convert to fraction form
    3,413.94/5,119.97 = 1,465.70/x
  3. Step 3: Cross multiply
    3,413.94x = 5,119.97 × 1,465.70
  4. Step 4: Simplify right side
    3,413.94x = 7,504,307.10
  5. Step 5: Solve for x
    x = 7,504,307.10/3,413.94
  6. Step 6: Final answer
    x = 2,198.14

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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.