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Finding the Fourth Proportional to 3,475.82, 5,214.82 and 2,014.18

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Solution

The fourth proportional to 3,475.82, 5,214.82 and 2,014.18 is: 3,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.82 : 5,214.82 = 2,014.18 : x
  2. Step 2: Convert to fraction form
    3,475.82/5,214.82 = 2,014.18/x
  3. Step 3: Cross multiply
    3,475.82x = 5,214.82 × 2,014.18
  4. Step 4: Simplify right side
    3,475.82x = 10,503,586.15
  5. Step 5: Solve for x
    x = 10,503,586.15/3,475.82
  6. Step 6: Final answer
    x = 3,021.90

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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.