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Finding the Fourth Proportional to 3,511.74, 4,819.45 and 3,179.44

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Solution

The fourth proportional to 3,511.74, 4,819.45 and 3,179.44 is: 4,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.74 : 4,819.45 = 3,179.44 : x
  2. Step 2: Convert to fraction form
    3,511.74/4,819.45 = 3,179.44/x
  3. Step 3: Cross multiply
    3,511.74x = 4,819.45 × 3,179.44
  4. Step 4: Simplify right side
    3,511.74x = 15,323,152.11
  5. Step 5: Solve for x
    x = 15,323,152.11/3,511.74
  6. Step 6: Final answer
    x = 4,363.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.