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Finding the Fourth Proportional to 4,413.84, 6,091.11 and 2,424.44

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Solution

The fourth proportional to 4,413.84, 6,091.11 and 2,424.44 is: 3,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413.84 : 6,091.11 = 2,424.44 : x
  2. Step 2: Convert to fraction form
    4,413.84/6,091.11 = 2,424.44/x
  3. Step 3: Cross multiply
    4,413.84x = 6,091.11 × 2,424.44
  4. Step 4: Simplify right side
    4,413.84x = 14,767,523.11
  5. Step 5: Solve for x
    x = 14,767,523.11/4,413.84
  6. Step 6: Final answer
    x = 3,345.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.