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Finding the Fourth Proportional to 5,950.29, 8,211.47 and 3,297.75

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Solution

The fourth proportional to 5,950.29, 8,211.47 and 3,297.75 is: 4,550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950.29 : 8,211.47 = 3,297.75 : x
  2. Step 2: Convert to fraction form
    5,950.29/8,211.47 = 3,297.75/x
  3. Step 3: Cross multiply
    5,950.29x = 8,211.47 × 3,297.75
  4. Step 4: Simplify right side
    5,950.29x = 27,079,375.19
  5. Step 5: Solve for x
    x = 27,079,375.19/5,950.29
  6. Step 6: Final answer
    x = 4,550.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.