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Finding the Fourth Proportional to 3,827.79, 5,284.35 and 2,413.53

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Solution

The fourth proportional to 3,827.79, 5,284.35 and 2,413.53 is: 3,331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.79 : 5,284.35 = 2,413.53 : x
  2. Step 2: Convert to fraction form
    3,827.79/5,284.35 = 2,413.53/x
  3. Step 3: Cross multiply
    3,827.79x = 5,284.35 × 2,413.53
  4. Step 4: Simplify right side
    3,827.79x = 12,753,937.26
  5. Step 5: Solve for x
    x = 12,753,937.26/3,827.79
  6. Step 6: Final answer
    x = 3,331.93

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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.