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Finding the Fourth Proportional to 4,922.98, 7,383.77 and 1,413.28

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Solution

The fourth proportional to 4,922.98, 7,383.77 and 1,413.28 is: 2,119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.98 : 7,383.77 = 1,413.28 : x
  2. Step 2: Convert to fraction form
    4,922.98/7,383.77 = 1,413.28/x
  3. Step 3: Cross multiply
    4,922.98x = 7,383.77 × 1,413.28
  4. Step 4: Simplify right side
    4,922.98x = 10,435,334.47
  5. Step 5: Solve for x
    x = 10,435,334.47/4,922.98
  6. Step 6: Final answer
    x = 2,119.72

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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.