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Finding the Fourth Proportional to 3,808.56, 5,706.96 and 2,571.12

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Solution

The fourth proportional to 3,808.56, 5,706.96 and 2,571.12 is: 3,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.56 : 5,706.96 = 2,571.12 : x
  2. Step 2: Convert to fraction form
    3,808.56/5,706.96 = 2,571.12/x
  3. Step 3: Cross multiply
    3,808.56x = 5,706.96 × 2,571.12
  4. Step 4: Simplify right side
    3,808.56x = 14,673,279.00
  5. Step 5: Solve for x
    x = 14,673,279.00/3,808.56
  6. Step 6: Final answer
    x = 3,852.71

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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.