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Finding the Fourth Proportional to 3,834.66, 5,750.34 and 1,462.34

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Solution

The fourth proportional to 3,834.66, 5,750.34 and 1,462.34 is: 2,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.66 : 5,750.34 = 1,462.34 : x
  2. Step 2: Convert to fraction form
    3,834.66/5,750.34 = 1,462.34/x
  3. Step 3: Cross multiply
    3,834.66x = 5,750.34 × 1,462.34
  4. Step 4: Simplify right side
    3,834.66x = 8,408,923.44
  5. Step 5: Solve for x
    x = 8,408,923.44/3,834.66
  6. Step 6: Final answer
    x = 2,192.87

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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.