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Finding the Fourth Proportional to 3,462.98, 5,193.44 and 1,241.46

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Solution

The fourth proportional to 3,462.98, 5,193.44 and 1,241.46 is: 1,861.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.98 : 5,193.44 = 1,241.46 : x
  2. Step 2: Convert to fraction form
    3,462.98/5,193.44 = 1,241.46/x
  3. Step 3: Cross multiply
    3,462.98x = 5,193.44 × 1,241.46
  4. Step 4: Simplify right side
    3,462.98x = 6,447,471.87
  5. Step 5: Solve for x
    x = 6,447,471.87/3,462.98
  6. Step 6: Final answer
    x = 1,861.83

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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.