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Finding the Fourth Proportional to 5,610, 8,413.92 and 1,912.20

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Solution

The fourth proportional to 5,610, 8,413.92 and 1,912.20 is: 2,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610 : 8,413.92 = 1,912.20 : x
  2. Step 2: Convert to fraction form
    5,610/8,413.92 = 1,912.20/x
  3. Step 3: Cross multiply
    5,610x = 8,413.92 × 1,912.20
  4. Step 4: Simplify right side
    5,610x = 16,089,097.82
  5. Step 5: Solve for x
    x = 16,089,097.82/5,610
  6. Step 6: Final answer
    x = 2,867.93

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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.