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Finding the Fourth Proportional to 4,057.42, 6,096.39 and 3,893.40

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Solution

The fourth proportional to 4,057.42, 6,096.39 and 3,893.40 is: 5,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.42 : 6,096.39 = 3,893.40 : x
  2. Step 2: Convert to fraction form
    4,057.42/6,096.39 = 3,893.40/x
  3. Step 3: Cross multiply
    4,057.42x = 6,096.39 × 3,893.40
  4. Step 4: Simplify right side
    4,057.42x = 23,735,684.83
  5. Step 5: Solve for x
    x = 23,735,684.83/4,057.42
  6. Step 6: Final answer
    x = 5,849.95

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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.