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Finding the Fourth Proportional to 5,189.46, 7,780.52 and 2,413.18

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Solution

The fourth proportional to 5,189.46, 7,780.52 and 2,413.18 is: 3,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.46 : 7,780.52 = 2,413.18 : x
  2. Step 2: Convert to fraction form
    5,189.46/7,780.52 = 2,413.18/x
  3. Step 3: Cross multiply
    5,189.46x = 7,780.52 × 2,413.18
  4. Step 4: Simplify right side
    5,189.46x = 18,775,795.25
  5. Step 5: Solve for x
    x = 18,775,795.25/5,189.46
  6. Step 6: Final answer
    x = 3,618.06

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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.