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Finding the Fourth Proportional to 3,419.75, 5,129.69 and 2,014.67

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Solution

The fourth proportional to 3,419.75, 5,129.69 and 2,014.67 is: 3,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.75 : 5,129.69 = 2,014.67 : x
  2. Step 2: Convert to fraction form
    3,419.75/5,129.69 = 2,014.67/x
  3. Step 3: Cross multiply
    3,419.75x = 5,129.69 × 2,014.67
  4. Step 4: Simplify right side
    3,419.75x = 10,334,596.83
  5. Step 5: Solve for x
    x = 10,334,596.83/3,419.75
  6. Step 6: Final answer
    x = 3,022.04

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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.