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Finding the Fourth Proportional to 5,293.26, 7,933.32 and 1,826.46

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Solution

The fourth proportional to 5,293.26, 7,933.32 and 1,826.46 is: 2,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.26 : 7,933.32 = 1,826.46 : x
  2. Step 2: Convert to fraction form
    5,293.26/7,933.32 = 1,826.46/x
  3. Step 3: Cross multiply
    5,293.26x = 7,933.32 × 1,826.46
  4. Step 4: Simplify right side
    5,293.26x = 14,489,891.65
  5. Step 5: Solve for x
    x = 14,489,891.65/5,293.26
  6. Step 6: Final answer
    x = 2,737.42

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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.