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Finding the Fourth Proportional to 3,171.66, 4,757.45 and 3,093.23

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Solution

The fourth proportional to 3,171.66, 4,757.45 and 3,093.23 is: 4,639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.66 : 4,757.45 = 3,093.23 : x
  2. Step 2: Convert to fraction form
    3,171.66/4,757.45 = 3,093.23/x
  3. Step 3: Cross multiply
    3,171.66x = 4,757.45 × 3,093.23
  4. Step 4: Simplify right side
    3,171.66x = 14,715,847.81
  5. Step 5: Solve for x
    x = 14,715,847.81/3,171.66
  6. Step 6: Final answer
    x = 4,639.79

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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.