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Finding the Fourth Proportional to 4,059.60, 6,093.22 and 3,837.66

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Solution

The fourth proportional to 4,059.60, 6,093.22 and 3,837.66 is: 5,760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.60 : 6,093.22 = 3,837.66 : x
  2. Step 2: Convert to fraction form
    4,059.60/6,093.22 = 3,837.66/x
  3. Step 3: Cross multiply
    4,059.60x = 6,093.22 × 3,837.66
  4. Step 4: Simplify right side
    4,059.60x = 23,383,706.67
  5. Step 5: Solve for x
    x = 23,383,706.67/4,059.60
  6. Step 6: Final answer
    x = 5,760.10

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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.