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Finding the Fourth Proportional to 4,736.70, 7,103.82 and 1,964.16

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Solution

The fourth proportional to 4,736.70, 7,103.82 and 1,964.16 is: 2,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.70 : 7,103.82 = 1,964.16 : x
  2. Step 2: Convert to fraction form
    4,736.70/7,103.82 = 1,964.16/x
  3. Step 3: Cross multiply
    4,736.70x = 7,103.82 × 1,964.16
  4. Step 4: Simplify right side
    4,736.70x = 13,953,039.09
  5. Step 5: Solve for x
    x = 13,953,039.09/4,736.70
  6. Step 6: Final answer
    x = 2,945.73

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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.