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Finding the Fourth Proportional to 3,442.82, 5,164.21 and 845.75

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Solution

The fourth proportional to 3,442.82, 5,164.21 and 845.75 is: 1,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.82 : 5,164.21 = 845.75 : x
  2. Step 2: Convert to fraction form
    3,442.82/5,164.21 = 845.75/x
  3. Step 3: Cross multiply
    3,442.82x = 5,164.21 × 845.75
  4. Step 4: Simplify right side
    3,442.82x = 4,367,630.61
  5. Step 5: Solve for x
    x = 4,367,630.61/3,442.82
  6. Step 6: Final answer
    x = 1,268.62

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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.