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Finding the Fourth Proportional to 3,827.41, 5,283.14 and 2,413.49

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Solution

The fourth proportional to 3,827.41, 5,283.14 and 2,413.49 is: 3,331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.41 : 5,283.14 = 2,413.49 : x
  2. Step 2: Convert to fraction form
    3,827.41/5,283.14 = 2,413.49/x
  3. Step 3: Cross multiply
    3,827.41x = 5,283.14 × 2,413.49
  4. Step 4: Simplify right side
    3,827.41x = 12,750,767.08
  5. Step 5: Solve for x
    x = 12,750,767.08/3,827.41
  6. Step 6: Final answer
    x = 3,331.44

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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.