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Finding the Fourth Proportional to 6,413.32, 8,850.56 and 3,619

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Solution

The fourth proportional to 6,413.32, 8,850.56 and 3,619 is: 4,994.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.32 : 8,850.56 = 3,619 : x
  2. Step 2: Convert to fraction form
    6,413.32/8,850.56 = 3,619/x
  3. Step 3: Cross multiply
    6,413.32x = 8,850.56 × 3,619
  4. Step 4: Simplify right side
    6,413.32x = 32,030,176.64
  5. Step 5: Solve for x
    x = 32,030,176.64/6,413.32
  6. Step 6: Final answer
    x = 4,994.32

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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.