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Finding the Fourth Proportional to 4,736.68, 7,105.02 and 2,697.64

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Solution

The fourth proportional to 4,736.68, 7,105.02 and 2,697.64 is: 4,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.68 : 7,105.02 = 2,697.64 : x
  2. Step 2: Convert to fraction form
    4,736.68/7,105.02 = 2,697.64/x
  3. Step 3: Cross multiply
    4,736.68x = 7,105.02 × 2,697.64
  4. Step 4: Simplify right side
    4,736.68x = 19,166,786.15
  5. Step 5: Solve for x
    x = 19,166,786.15/4,736.68
  6. Step 6: Final answer
    x = 4,046.46

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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.