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Finding the Fourth Proportional to 3,446.42, 5,166.60 and 1,367.89

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Solution

The fourth proportional to 3,446.42, 5,166.60 and 1,367.89 is: 2,050.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.42 : 5,166.60 = 1,367.89 : x
  2. Step 2: Convert to fraction form
    3,446.42/5,166.60 = 1,367.89/x
  3. Step 3: Cross multiply
    3,446.42x = 5,166.60 × 1,367.89
  4. Step 4: Simplify right side
    3,446.42x = 7,067,330.12
  5. Step 5: Solve for x
    x = 7,067,330.12/3,446.42
  6. Step 6: Final answer
    x = 2,050.63

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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.