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Finding the Fourth Proportional to 3,447.44, 5,171 and 1,714.64

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Solution

The fourth proportional to 3,447.44, 5,171 and 1,714.64 is: 2,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.44 : 5,171 = 1,714.64 : x
  2. Step 2: Convert to fraction form
    3,447.44/5,171 = 1,714.64/x
  3. Step 3: Cross multiply
    3,447.44x = 5,171 × 1,714.64
  4. Step 4: Simplify right side
    3,447.44x = 8,866,403.44
  5. Step 5: Solve for x
    x = 8,866,403.44/3,447.44
  6. Step 6: Final answer
    x = 2,571.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.