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Finding the Fourth Proportional to 3,817.84, 5,717.04 and 2,515.36

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Solution

The fourth proportional to 3,817.84, 5,717.04 and 2,515.36 is: 3,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.84 : 5,717.04 = 2,515.36 : x
  2. Step 2: Convert to fraction form
    3,817.84/5,717.04 = 2,515.36/x
  3. Step 3: Cross multiply
    3,817.84x = 5,717.04 × 2,515.36
  4. Step 4: Simplify right side
    3,817.84x = 14,380,413.73
  5. Step 5: Solve for x
    x = 14,380,413.73/3,817.84
  6. Step 6: Final answer
    x = 3,766.64

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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.