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Finding the Fourth Proportional to 3,812.93, 5,706.69 and 2,883.36

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Solution

The fourth proportional to 3,812.93, 5,706.69 and 2,883.36 is: 4,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.93 : 5,706.69 = 2,883.36 : x
  2. Step 2: Convert to fraction form
    3,812.93/5,706.69 = 2,883.36/x
  3. Step 3: Cross multiply
    3,812.93x = 5,706.69 × 2,883.36
  4. Step 4: Simplify right side
    3,812.93x = 16,454,441.68
  5. Step 5: Solve for x
    x = 16,454,441.68/3,812.93
  6. Step 6: Final answer
    x = 4,315.44

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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.