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Finding the Fourth Proportional to 3,926.52, 5,413.57 and 3,215.75

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Solution

The fourth proportional to 3,926.52, 5,413.57 and 3,215.75 is: 4,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.52 : 5,413.57 = 3,215.75 : x
  2. Step 2: Convert to fraction form
    3,926.52/5,413.57 = 3,215.75/x
  3. Step 3: Cross multiply
    3,926.52x = 5,413.57 × 3,215.75
  4. Step 4: Simplify right side
    3,926.52x = 17,408,652.62
  5. Step 5: Solve for x
    x = 17,408,652.62/3,926.52
  6. Step 6: Final answer
    x = 4,433.61

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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.