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Finding the Fourth Proportional to 3,605.98, 5,410.54 and 1,413.95

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Solution

The fourth proportional to 3,605.98, 5,410.54 and 1,413.95 is: 2,121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.98 : 5,410.54 = 1,413.95 : x
  2. Step 2: Convert to fraction form
    3,605.98/5,410.54 = 1,413.95/x
  3. Step 3: Cross multiply
    3,605.98x = 5,410.54 × 1,413.95
  4. Step 4: Simplify right side
    3,605.98x = 7,650,233.03
  5. Step 5: Solve for x
    x = 7,650,233.03/3,605.98
  6. Step 6: Final answer
    x = 2,121.54

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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.