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Finding the Fourth Proportional to 3,690.90, 5,532.39 and 1,838.43

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Solution

The fourth proportional to 3,690.90, 5,532.39 and 1,838.43 is: 2,755.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.90 : 5,532.39 = 1,838.43 : x
  2. Step 2: Convert to fraction form
    3,690.90/5,532.39 = 1,838.43/x
  3. Step 3: Cross multiply
    3,690.90x = 5,532.39 × 1,838.43
  4. Step 4: Simplify right side
    3,690.90x = 10,170,911.75
  5. Step 5: Solve for x
    x = 10,170,911.75/3,690.90
  6. Step 6: Final answer
    x = 2,755.67

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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.