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Finding the Fourth Proportional to 4,027.71, 6,039.10 and 3,683.94

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Solution

The fourth proportional to 4,027.71, 6,039.10 and 3,683.94 is: 5,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027.71 : 6,039.10 = 3,683.94 : x
  2. Step 2: Convert to fraction form
    4,027.71/6,039.10 = 3,683.94/x
  3. Step 3: Cross multiply
    4,027.71x = 6,039.10 × 3,683.94
  4. Step 4: Simplify right side
    4,027.71x = 22,247,682.05
  5. Step 5: Solve for x
    x = 22,247,682.05/4,027.71
  6. Step 6: Final answer
    x = 5,523.66

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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.