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Finding the Fourth Proportional to 3,539.35, 5,309.03 and 942.28

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Solution

The fourth proportional to 3,539.35, 5,309.03 and 942.28 is: 1,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.35 : 5,309.03 = 942.28 : x
  2. Step 2: Convert to fraction form
    3,539.35/5,309.03 = 942.28/x
  3. Step 3: Cross multiply
    3,539.35x = 5,309.03 × 942.28
  4. Step 4: Simplify right side
    3,539.35x = 5,002,592.79
  5. Step 5: Solve for x
    x = 5,002,592.79/3,539.35
  6. Step 6: Final answer
    x = 1,413.42

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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.