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Finding the Fourth Proportional to 3,471.56, 5,204.36 and 1,279.88

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Solution

The fourth proportional to 3,471.56, 5,204.36 and 1,279.88 is: 1,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.56 : 5,204.36 = 1,279.88 : x
  2. Step 2: Convert to fraction form
    3,471.56/5,204.36 = 1,279.88/x
  3. Step 3: Cross multiply
    3,471.56x = 5,204.36 × 1,279.88
  4. Step 4: Simplify right side
    3,471.56x = 6,660,956.28
  5. Step 5: Solve for x
    x = 6,660,956.28/3,471.56
  6. Step 6: Final answer
    x = 1,918.72

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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.