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Finding the Fourth Proportional to 3,539.20, 5,308.80 and 942.40

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Solution

The fourth proportional to 3,539.20, 5,308.80 and 942.40 is: 1,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.20 : 5,308.80 = 942.40 : x
  2. Step 2: Convert to fraction form
    3,539.20/5,308.80 = 942.40/x
  3. Step 3: Cross multiply
    3,539.20x = 5,308.80 × 942.40
  4. Step 4: Simplify right side
    3,539.20x = 5,003,013.12
  5. Step 5: Solve for x
    x = 5,003,013.12/3,539.20
  6. Step 6: Final answer
    x = 1,413.60

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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.