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Finding the Fourth Proportional to 3,604.46, 5,406.75 and 1,413.27

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Solution

The fourth proportional to 3,604.46, 5,406.75 and 1,413.27 is: 2,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.46 : 5,406.75 = 1,413.27 : x
  2. Step 2: Convert to fraction form
    3,604.46/5,406.75 = 1,413.27/x
  3. Step 3: Cross multiply
    3,604.46x = 5,406.75 × 1,413.27
  4. Step 4: Simplify right side
    3,604.46x = 7,641,197.57
  5. Step 5: Solve for x
    x = 7,641,197.57/3,604.46
  6. Step 6: Final answer
    x = 2,119.93

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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.