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Finding the Fourth Proportional to 3,608.93, 5,413.59 and 1,143.94

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Solution

The fourth proportional to 3,608.93, 5,413.59 and 1,143.94 is: 1,715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.93 : 5,413.59 = 1,143.94 : x
  2. Step 2: Convert to fraction form
    3,608.93/5,413.59 = 1,143.94/x
  3. Step 3: Cross multiply
    3,608.93x = 5,413.59 × 1,143.94
  4. Step 4: Simplify right side
    3,608.93x = 6,192,848.11
  5. Step 5: Solve for x
    x = 6,192,848.11/3,608.93
  6. Step 6: Final answer
    x = 1,715.98

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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.