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Finding the Fourth Proportional to 5,071.91, 6,994.68 and 3,183.68

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Solution

The fourth proportional to 5,071.91, 6,994.68 and 3,183.68 is: 4,390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.91 : 6,994.68 = 3,183.68 : x
  2. Step 2: Convert to fraction form
    5,071.91/6,994.68 = 3,183.68/x
  3. Step 3: Cross multiply
    5,071.91x = 6,994.68 × 3,183.68
  4. Step 4: Simplify right side
    5,071.91x = 22,268,787.85
  5. Step 5: Solve for x
    x = 22,268,787.85/5,071.91
  6. Step 6: Final answer
    x = 4,390.62

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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.