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Finding the Fourth Proportional to 4,491, 6,736.74 and 3,188.76

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Solution

The fourth proportional to 4,491, 6,736.74 and 3,188.76 is: 4,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491 : 6,736.74 = 3,188.76 : x
  2. Step 2: Convert to fraction form
    4,491/6,736.74 = 3,188.76/x
  3. Step 3: Cross multiply
    4,491x = 6,736.74 × 3,188.76
  4. Step 4: Simplify right side
    4,491x = 21,481,847.04
  5. Step 5: Solve for x
    x = 21,481,847.04/4,491
  6. Step 6: Final answer
    x = 4,783.31

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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.