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Finding the Fourth Proportional to 4,297.84, 6,448.24 and 3,838.57

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Solution

The fourth proportional to 4,297.84, 6,448.24 and 3,838.57 is: 5,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.84 : 6,448.24 = 3,838.57 : x
  2. Step 2: Convert to fraction form
    4,297.84/6,448.24 = 3,838.57/x
  3. Step 3: Cross multiply
    4,297.84x = 6,448.24 × 3,838.57
  4. Step 4: Simplify right side
    4,297.84x = 24,752,020.62
  5. Step 5: Solve for x
    x = 24,752,020.62/4,297.84
  6. Step 6: Final answer
    x = 5,759.18

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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.