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Finding the Fourth Proportional to 4,647.63, 6,413.78 and 2,523.18

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Solution

The fourth proportional to 4,647.63, 6,413.78 and 2,523.18 is: 3,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.63 : 6,413.78 = 2,523.18 : x
  2. Step 2: Convert to fraction form
    4,647.63/6,413.78 = 2,523.18/x
  3. Step 3: Cross multiply
    4,647.63x = 6,413.78 × 2,523.18
  4. Step 4: Simplify right side
    4,647.63x = 16,183,121.42
  5. Step 5: Solve for x
    x = 16,183,121.42/4,647.63
  6. Step 6: Final answer
    x = 3,482.02

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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.