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Finding the Fourth Proportional to 3,942.69, 5,913.59 and 1,309.56

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Solution

The fourth proportional to 3,942.69, 5,913.59 and 1,309.56 is: 1,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.69 : 5,913.59 = 1,309.56 : x
  2. Step 2: Convert to fraction form
    3,942.69/5,913.59 = 1,309.56/x
  3. Step 3: Cross multiply
    3,942.69x = 5,913.59 × 1,309.56
  4. Step 4: Simplify right side
    3,942.69x = 7,744,194.37
  5. Step 5: Solve for x
    x = 7,744,194.37/3,942.69
  6. Step 6: Final answer
    x = 1,964.19

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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.