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Finding the Fourth Proportional to 3,355.86, 5,034.02 and 1,711.97

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Solution

The fourth proportional to 3,355.86, 5,034.02 and 1,711.97 is: 2,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.86 : 5,034.02 = 1,711.97 : x
  2. Step 2: Convert to fraction form
    3,355.86/5,034.02 = 1,711.97/x
  3. Step 3: Cross multiply
    3,355.86x = 5,034.02 × 1,711.97
  4. Step 4: Simplify right side
    3,355.86x = 8,618,076.37
  5. Step 5: Solve for x
    x = 8,618,076.37/3,355.86
  6. Step 6: Final answer
    x = 2,568.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.