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Finding the Fourth Proportional to 3,511.68, 4,846.14 and 1,939.78

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Solution

The fourth proportional to 3,511.68, 4,846.14 and 1,939.78 is: 2,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.68 : 4,846.14 = 1,939.78 : x
  2. Step 2: Convert to fraction form
    3,511.68/4,846.14 = 1,939.78/x
  3. Step 3: Cross multiply
    3,511.68x = 4,846.14 × 1,939.78
  4. Step 4: Simplify right side
    3,511.68x = 9,400,445.45
  5. Step 5: Solve for x
    x = 9,400,445.45/3,511.68
  6. Step 6: Final answer
    x = 2,676.91

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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.