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Finding the Fourth Proportional to 4,327.56, 6,489.72 and 3,413.88

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Solution

The fourth proportional to 4,327.56, 6,489.72 and 3,413.88 is: 5,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.56 : 6,489.72 = 3,413.88 : x
  2. Step 2: Convert to fraction form
    4,327.56/6,489.72 = 3,413.88/x
  3. Step 3: Cross multiply
    4,327.56x = 6,489.72 × 3,413.88
  4. Step 4: Simplify right side
    4,327.56x = 22,155,125.31
  5. Step 5: Solve for x
    x = 22,155,125.31/4,327.56
  6. Step 6: Final answer
    x = 5,119.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.