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Finding the Fourth Proportional to 3,612.43, 5,413.86 and 1,857.36

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Solution

The fourth proportional to 3,612.43, 5,413.86 and 1,857.36 is: 2,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.43 : 5,413.86 = 1,857.36 : x
  2. Step 2: Convert to fraction form
    3,612.43/5,413.86 = 1,857.36/x
  3. Step 3: Cross multiply
    3,612.43x = 5,413.86 × 1,857.36
  4. Step 4: Simplify right side
    3,612.43x = 10,055,487.01
  5. Step 5: Solve for x
    x = 10,055,487.01/3,612.43
  6. Step 6: Final answer
    x = 2,783.58

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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.