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Finding the Fourth Proportional to 3,571.35, 5,357.25 and 1,380.09

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Solution

The fourth proportional to 3,571.35, 5,357.25 and 1,380.09 is: 2,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.35 : 5,357.25 = 1,380.09 : x
  2. Step 2: Convert to fraction form
    3,571.35/5,357.25 = 1,380.09/x
  3. Step 3: Cross multiply
    3,571.35x = 5,357.25 × 1,380.09
  4. Step 4: Simplify right side
    3,571.35x = 7,393,487.15
  5. Step 5: Solve for x
    x = 7,393,487.15/3,571.35
  6. Step 6: Final answer
    x = 2,070.22

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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.