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Finding the Fourth Proportional to 3,575.92, 4,934.92 and 1,982.56

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Solution

The fourth proportional to 3,575.92, 4,934.92 and 1,982.56 is: 2,736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.92 : 4,934.92 = 1,982.56 : x
  2. Step 2: Convert to fraction form
    3,575.92/4,934.92 = 1,982.56/x
  3. Step 3: Cross multiply
    3,575.92x = 4,934.92 × 1,982.56
  4. Step 4: Simplify right side
    3,575.92x = 9,783,757.70
  5. Step 5: Solve for x
    x = 9,783,757.70/3,575.92
  6. Step 6: Final answer
    x = 2,736.01

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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.