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Finding the Fourth Proportional to 3,431.70, 5,144.44 and 1,238.88

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Solution

The fourth proportional to 3,431.70, 5,144.44 and 1,238.88 is: 1,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.70 : 5,144.44 = 1,238.88 : x
  2. Step 2: Convert to fraction form
    3,431.70/5,144.44 = 1,238.88/x
  3. Step 3: Cross multiply
    3,431.70x = 5,144.44 × 1,238.88
  4. Step 4: Simplify right side
    3,431.70x = 6,373,343.83
  5. Step 5: Solve for x
    x = 6,373,343.83/3,431.70
  6. Step 6: Final answer
    x = 1,857.20

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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.