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Finding the Fourth Proportional to 3,494.19, 5,230.42 and 2,611.49

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Solution

The fourth proportional to 3,494.19, 5,230.42 and 2,611.49 is: 3,909.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.19 : 5,230.42 = 2,611.49 : x
  2. Step 2: Convert to fraction form
    3,494.19/5,230.42 = 2,611.49/x
  3. Step 3: Cross multiply
    3,494.19x = 5,230.42 × 2,611.49
  4. Step 4: Simplify right side
    3,494.19x = 13,659,200.96
  5. Step 5: Solve for x
    x = 13,659,200.96/3,494.19
  6. Step 6: Final answer
    x = 3,909.12

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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.