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Finding the Fourth Proportional to 4,107.76, 6,162.60 and 1,334.44

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Solution

The fourth proportional to 4,107.76, 6,162.60 and 1,334.44 is: 2,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.76 : 6,162.60 = 1,334.44 : x
  2. Step 2: Convert to fraction form
    4,107.76/6,162.60 = 1,334.44/x
  3. Step 3: Cross multiply
    4,107.76x = 6,162.60 × 1,334.44
  4. Step 4: Simplify right side
    4,107.76x = 8,223,619.94
  5. Step 5: Solve for x
    x = 8,223,619.94/4,107.76
  6. Step 6: Final answer
    x = 2,001.97

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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.