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Finding the Fourth Proportional to 6,413.64, 8,849.70 and 3,618.60

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Solution

The fourth proportional to 6,413.64, 8,849.70 and 3,618.60 is: 4,993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.64 : 8,849.70 = 3,618.60 : x
  2. Step 2: Convert to fraction form
    6,413.64/8,849.70 = 3,618.60/x
  3. Step 3: Cross multiply
    6,413.64x = 8,849.70 × 3,618.60
  4. Step 4: Simplify right side
    6,413.64x = 32,023,524.42
  5. Step 5: Solve for x
    x = 32,023,524.42/6,413.64
  6. Step 6: Final answer
    x = 4,993.03

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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.