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Finding the Fourth Proportional to 3,933.36, 5,890.32 and 3,162.24

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Solution

The fourth proportional to 3,933.36, 5,890.32 and 3,162.24 is: 4,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.36 : 5,890.32 = 3,162.24 : x
  2. Step 2: Convert to fraction form
    3,933.36/5,890.32 = 3,162.24/x
  3. Step 3: Cross multiply
    3,933.36x = 5,890.32 × 3,162.24
  4. Step 4: Simplify right side
    3,933.36x = 18,626,605.52
  5. Step 5: Solve for x
    x = 18,626,605.52/3,933.36
  6. Step 6: Final answer
    x = 4,735.55

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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.