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Finding the Fourth Proportional to 3,757.24, 5,634.01 and 2,197.64

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Solution

The fourth proportional to 3,757.24, 5,634.01 and 2,197.64 is: 3,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.24 : 5,634.01 = 2,197.64 : x
  2. Step 2: Convert to fraction form
    3,757.24/5,634.01 = 2,197.64/x
  3. Step 3: Cross multiply
    3,757.24x = 5,634.01 × 2,197.64
  4. Step 4: Simplify right side
    3,757.24x = 12,381,525.74
  5. Step 5: Solve for x
    x = 12,381,525.74/3,757.24
  6. Step 6: Final answer
    x = 3,295.38

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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.