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Finding the Fourth Proportional to 3,425.60, 5,138.39 and 2,646.73

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Solution

The fourth proportional to 3,425.60, 5,138.39 and 2,646.73 is: 3,970.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.60 : 5,138.39 = 2,646.73 : x
  2. Step 2: Convert to fraction form
    3,425.60/5,138.39 = 2,646.73/x
  3. Step 3: Cross multiply
    3,425.60x = 5,138.39 × 2,646.73
  4. Step 4: Simplify right side
    3,425.60x = 13,599,930.96
  5. Step 5: Solve for x
    x = 13,599,930.96/3,425.60
  6. Step 6: Final answer
    x = 3,970.09

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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.