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Finding the Fourth Proportional to 4,647.78, 6,413.94 and 2,523.30

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Solution

The fourth proportional to 4,647.78, 6,413.94 and 2,523.30 is: 3,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.78 : 6,413.94 = 2,523.30 : x
  2. Step 2: Convert to fraction form
    4,647.78/6,413.94 = 2,523.30/x
  3. Step 3: Cross multiply
    4,647.78x = 6,413.94 × 2,523.30
  4. Step 4: Simplify right side
    4,647.78x = 16,184,294.80
  5. Step 5: Solve for x
    x = 16,184,294.80/4,647.78
  6. Step 6: Final answer
    x = 3,482.16

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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.