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Finding the Fourth Proportional to 4,792.68, 6,611.76 and 3,912.12

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Solution

The fourth proportional to 4,792.68, 6,611.76 and 3,912.12 is: 5,396.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.68 : 6,611.76 = 3,912.12 : x
  2. Step 2: Convert to fraction form
    4,792.68/6,611.76 = 3,912.12/x
  3. Step 3: Cross multiply
    4,792.68x = 6,611.76 × 3,912.12
  4. Step 4: Simplify right side
    4,792.68x = 25,865,998.53
  5. Step 5: Solve for x
    x = 25,865,998.53/4,792.68
  6. Step 6: Final answer
    x = 5,396.98

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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.