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Finding the Fourth Proportional to 3,684.20, 5,518.20 and 1,491.80

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Solution

The fourth proportional to 3,684.20, 5,518.20 and 1,491.80 is: 2,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.20 : 5,518.20 = 1,491.80 : x
  2. Step 2: Convert to fraction form
    3,684.20/5,518.20 = 1,491.80/x
  3. Step 3: Cross multiply
    3,684.20x = 5,518.20 × 1,491.80
  4. Step 4: Simplify right side
    3,684.20x = 8,232,050.76
  5. Step 5: Solve for x
    x = 8,232,050.76/3,684.20
  6. Step 6: Final answer
    x = 2,234.42

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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.