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Finding the Fourth Proportional to 4,179.46, 6,236.94 and 3,742.06

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Solution

The fourth proportional to 4,179.46, 6,236.94 and 3,742.06 is: 5,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.46 : 6,236.94 = 3,742.06 : x
  2. Step 2: Convert to fraction form
    4,179.46/6,236.94 = 3,742.06/x
  3. Step 3: Cross multiply
    4,179.46x = 6,236.94 × 3,742.06
  4. Step 4: Simplify right side
    4,179.46x = 23,339,003.70
  5. Step 5: Solve for x
    x = 23,339,003.70/4,179.46
  6. Step 6: Final answer
    x = 5,584.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.