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Finding the Fourth Proportional to 3,219.76, 4,452.60 and 3,161.44

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Solution

The fourth proportional to 3,219.76, 4,452.60 and 3,161.44 is: 4,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.76 : 4,452.60 = 3,161.44 : x
  2. Step 2: Convert to fraction form
    3,219.76/4,452.60 = 3,161.44/x
  3. Step 3: Cross multiply
    3,219.76x = 4,452.60 × 3,161.44
  4. Step 4: Simplify right side
    3,219.76x = 14,076,627.74
  5. Step 5: Solve for x
    x = 14,076,627.74/3,219.76
  6. Step 6: Final answer
    x = 4,371.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.