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Finding the Fourth Proportional to 3,634.52, 5,454.49 and 1,413.70

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Solution

The fourth proportional to 3,634.52, 5,454.49 and 1,413.70 is: 2,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.52 : 5,454.49 = 1,413.70 : x
  2. Step 2: Convert to fraction form
    3,634.52/5,454.49 = 1,413.70/x
  3. Step 3: Cross multiply
    3,634.52x = 5,454.49 × 1,413.70
  4. Step 4: Simplify right side
    3,634.52x = 7,710,997.99
  5. Step 5: Solve for x
    x = 7,710,997.99/3,634.52
  6. Step 6: Final answer
    x = 2,121.60

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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.