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Finding the Fourth Proportional to 3,425.26, 5,137.48 and 1,346.80

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Solution

The fourth proportional to 3,425.26, 5,137.48 and 1,346.80 is: 2,020.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.26 : 5,137.48 = 1,346.80 : x
  2. Step 2: Convert to fraction form
    3,425.26/5,137.48 = 1,346.80/x
  3. Step 3: Cross multiply
    3,425.26x = 5,137.48 × 1,346.80
  4. Step 4: Simplify right side
    3,425.26x = 6,919,158.06
  5. Step 5: Solve for x
    x = 6,919,158.06/3,425.26
  6. Step 6: Final answer
    x = 2,020.04

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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.