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Finding the Fourth Proportional to 3,753.60, 5,626.62 and 1,413.24

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Solution

The fourth proportional to 3,753.60, 5,626.62 and 1,413.24 is: 2,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.60 : 5,626.62 = 1,413.24 : x
  2. Step 2: Convert to fraction form
    3,753.60/5,626.62 = 1,413.24/x
  3. Step 3: Cross multiply
    3,753.60x = 5,626.62 × 1,413.24
  4. Step 4: Simplify right side
    3,753.60x = 7,951,764.45
  5. Step 5: Solve for x
    x = 7,951,764.45/3,753.60
  6. Step 6: Final answer
    x = 2,118.44

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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.