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Finding the Fourth Proportional to 3,540.96, 5,311.26 and 1,460.34

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Solution

The fourth proportional to 3,540.96, 5,311.26 and 1,460.34 is: 2,190.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.96 : 5,311.26 = 1,460.34 : x
  2. Step 2: Convert to fraction form
    3,540.96/5,311.26 = 1,460.34/x
  3. Step 3: Cross multiply
    3,540.96x = 5,311.26 × 1,460.34
  4. Step 4: Simplify right side
    3,540.96x = 7,756,245.43
  5. Step 5: Solve for x
    x = 7,756,245.43/3,540.96
  6. Step 6: Final answer
    x = 2,190.44

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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.