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Finding the Fourth Proportional to 4,113.74, 5,671.22 and 3,481.76

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Solution

The fourth proportional to 4,113.74, 5,671.22 and 3,481.76 is: 4,799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.74 : 5,671.22 = 3,481.76 : x
  2. Step 2: Convert to fraction form
    4,113.74/5,671.22 = 3,481.76/x
  3. Step 3: Cross multiply
    4,113.74x = 5,671.22 × 3,481.76
  4. Step 4: Simplify right side
    4,113.74x = 19,745,826.95
  5. Step 5: Solve for x
    x = 19,745,826.95/4,113.74
  6. Step 6: Final answer
    x = 4,799.97

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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.