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Finding the Fourth Proportional to 3,540.45, 5,309.13 and 1,074.69

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Solution

The fourth proportional to 3,540.45, 5,309.13 and 1,074.69 is: 1,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.45 : 5,309.13 = 1,074.69 : x
  2. Step 2: Convert to fraction form
    3,540.45/5,309.13 = 1,074.69/x
  3. Step 3: Cross multiply
    3,540.45x = 5,309.13 × 1,074.69
  4. Step 4: Simplify right side
    3,540.45x = 5,705,668.92
  5. Step 5: Solve for x
    x = 5,705,668.92/3,540.45
  6. Step 6: Final answer
    x = 1,611.57

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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.