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Finding the Fourth Proportional to 3,442.73, 5,164.05 and 845.69

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Solution

The fourth proportional to 3,442.73, 5,164.05 and 845.69 is: 1,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.73 : 5,164.05 = 845.69 : x
  2. Step 2: Convert to fraction form
    3,442.73/5,164.05 = 845.69/x
  3. Step 3: Cross multiply
    3,442.73x = 5,164.05 × 845.69
  4. Step 4: Simplify right side
    3,442.73x = 4,367,185.44
  5. Step 5: Solve for x
    x = 4,367,185.44/3,442.73
  6. Step 6: Final answer
    x = 1,268.52

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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.