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Finding the Fourth Proportional to 5,571.22, 7,684.66 and 3,757.30

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Solution

The fourth proportional to 5,571.22, 7,684.66 and 3,757.30 is: 5,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,571.22 : 7,684.66 = 3,757.30 : x
  2. Step 2: Convert to fraction form
    5,571.22/7,684.66 = 3,757.30/x
  3. Step 3: Cross multiply
    5,571.22x = 7,684.66 × 3,757.30
  4. Step 4: Simplify right side
    5,571.22x = 28,873,573.02
  5. Step 5: Solve for x
    x = 28,873,573.02/5,571.22
  6. Step 6: Final answer
    x = 5,182.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.