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Finding the Fourth Proportional to 3,511.76, 4,846.52 and 2,020.20

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Solution

The fourth proportional to 3,511.76, 4,846.52 and 2,020.20 is: 2,788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.76 : 4,846.52 = 2,020.20 : x
  2. Step 2: Convert to fraction form
    3,511.76/4,846.52 = 2,020.20/x
  3. Step 3: Cross multiply
    3,511.76x = 4,846.52 × 2,020.20
  4. Step 4: Simplify right side
    3,511.76x = 9,790,939.70
  5. Step 5: Solve for x
    x = 9,790,939.70/3,511.76
  6. Step 6: Final answer
    x = 2,788.04

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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.