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Finding the Fourth Proportional to 4,736.67, 7,102.09 and 1,965.25

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Solution

The fourth proportional to 4,736.67, 7,102.09 and 1,965.25 is: 2,946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.67 : 7,102.09 = 1,965.25 : x
  2. Step 2: Convert to fraction form
    4,736.67/7,102.09 = 1,965.25/x
  3. Step 3: Cross multiply
    4,736.67x = 7,102.09 × 1,965.25
  4. Step 4: Simplify right side
    4,736.67x = 13,957,382.37
  5. Step 5: Solve for x
    x = 13,957,382.37/4,736.67
  6. Step 6: Final answer
    x = 2,946.67

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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.