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Finding the Fourth Proportional to 3,453.64, 5,179.43 and 1,261.85

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Solution

The fourth proportional to 3,453.64, 5,179.43 and 1,261.85 is: 1,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.64 : 5,179.43 = 1,261.85 : x
  2. Step 2: Convert to fraction form
    3,453.64/5,179.43 = 1,261.85/x
  3. Step 3: Cross multiply
    3,453.64x = 5,179.43 × 1,261.85
  4. Step 4: Simplify right side
    3,453.64x = 6,535,682.93
  5. Step 5: Solve for x
    x = 6,535,682.93/3,453.64
  6. Step 6: Final answer
    x = 1,892.41

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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.