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Finding the Fourth Proportional to 3,539.24, 5,308.43 and 942.11

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Solution

The fourth proportional to 3,539.24, 5,308.43 and 942.11 is: 1,413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.24 : 5,308.43 = 942.11 : x
  2. Step 2: Convert to fraction form
    3,539.24/5,308.43 = 942.11/x
  3. Step 3: Cross multiply
    3,539.24x = 5,308.43 × 942.11
  4. Step 4: Simplify right side
    3,539.24x = 5,001,093.73
  5. Step 5: Solve for x
    x = 5,001,093.73/3,539.24
  6. Step 6: Final answer
    x = 1,413.04

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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.