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Finding the Fourth Proportional to 5,413.68, 8,121.12 and 1,903.68

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Solution

The fourth proportional to 5,413.68, 8,121.12 and 1,903.68 is: 2,855.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.68 : 8,121.12 = 1,903.68 : x
  2. Step 2: Convert to fraction form
    5,413.68/8,121.12 = 1,903.68/x
  3. Step 3: Cross multiply
    5,413.68x = 8,121.12 × 1,903.68
  4. Step 4: Simplify right side
    5,413.68x = 15,460,013.72
  5. Step 5: Solve for x
    x = 15,460,013.72/5,413.68
  6. Step 6: Final answer
    x = 2,855.73

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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.