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Finding the Fourth Proportional to 5,334.90, 8,002.26 and 2,413.20

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Solution

The fourth proportional to 5,334.90, 8,002.26 and 2,413.20 is: 3,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.90 : 8,002.26 = 2,413.20 : x
  2. Step 2: Convert to fraction form
    5,334.90/8,002.26 = 2,413.20/x
  3. Step 3: Cross multiply
    5,334.90x = 8,002.26 × 2,413.20
  4. Step 4: Simplify right side
    5,334.90x = 19,311,053.83
  5. Step 5: Solve for x
    x = 19,311,053.83/5,334.90
  6. Step 6: Final answer
    x = 3,619.76

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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.