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Finding the Fourth Proportional to 5,309.05, 7,963 and 3,228.37

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Solution

The fourth proportional to 5,309.05, 7,963 and 3,228.37 is: 4,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.05 : 7,963 = 3,228.37 : x
  2. Step 2: Convert to fraction form
    5,309.05/7,963 = 3,228.37/x
  3. Step 3: Cross multiply
    5,309.05x = 7,963 × 3,228.37
  4. Step 4: Simplify right side
    5,309.05x = 25,707,510.31
  5. Step 5: Solve for x
    x = 25,707,510.31/5,309.05
  6. Step 6: Final answer
    x = 4,842.21

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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.