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Finding the Fourth Proportional to 3,413.63, 5,120.03 and 1,192.07

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Solution

The fourth proportional to 3,413.63, 5,120.03 and 1,192.07 is: 1,787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.63 : 5,120.03 = 1,192.07 : x
  2. Step 2: Convert to fraction form
    3,413.63/5,120.03 = 1,192.07/x
  3. Step 3: Cross multiply
    3,413.63x = 5,120.03 × 1,192.07
  4. Step 4: Simplify right side
    3,413.63x = 6,103,434.16
  5. Step 5: Solve for x
    x = 6,103,434.16/3,413.63
  6. Step 6: Final answer
    x = 1,787.96

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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.