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Finding the Fourth Proportional to 4,297.64, 6,450.42 and 3,329.96

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Solution

The fourth proportional to 4,297.64, 6,450.42 and 3,329.96 is: 4,998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.64 : 6,450.42 = 3,329.96 : x
  2. Step 2: Convert to fraction form
    4,297.64/6,450.42 = 3,329.96/x
  3. Step 3: Cross multiply
    4,297.64x = 6,450.42 × 3,329.96
  4. Step 4: Simplify right side
    4,297.64x = 21,479,640.58
  5. Step 5: Solve for x
    x = 21,479,640.58/4,297.64
  6. Step 6: Final answer
    x = 4,998.01

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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.