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Finding the Fourth Proportional to 4,647.73, 6,413.83 and 2,760.24

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Solution

The fourth proportional to 4,647.73, 6,413.83 and 2,760.24 is: 3,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.73 : 6,413.83 = 2,760.24 : x
  2. Step 2: Convert to fraction form
    4,647.73/6,413.83 = 2,760.24/x
  3. Step 3: Cross multiply
    4,647.73x = 6,413.83 × 2,760.24
  4. Step 4: Simplify right side
    4,647.73x = 17,703,710.12
  5. Step 5: Solve for x
    x = 17,703,710.12/4,647.73
  6. Step 6: Final answer
    x = 3,809.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.