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Finding the Fourth Proportional to 6,084.62, 8,396.06 and 3,431.88

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Solution

The fourth proportional to 6,084.62, 8,396.06 and 3,431.88 is: 4,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.62 : 8,396.06 = 3,431.88 : x
  2. Step 2: Convert to fraction form
    6,084.62/8,396.06 = 3,431.88/x
  3. Step 3: Cross multiply
    6,084.62x = 8,396.06 × 3,431.88
  4. Step 4: Simplify right side
    6,084.62x = 28,814,270.39
  5. Step 5: Solve for x
    x = 28,814,270.39/6,084.62
  6. Step 6: Final answer
    x = 4,735.59

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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.