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Finding the Fourth Proportional to 3,183.68, 4,742.69 and 3,086.95

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Solution

The fourth proportional to 3,183.68, 4,742.69 and 3,086.95 is: 4,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.68 : 4,742.69 = 3,086.95 : x
  2. Step 2: Convert to fraction form
    3,183.68/4,742.69 = 3,086.95/x
  3. Step 3: Cross multiply
    3,183.68x = 4,742.69 × 3,086.95
  4. Step 4: Simplify right side
    3,183.68x = 14,640,446.90
  5. Step 5: Solve for x
    x = 14,640,446.90/3,183.68
  6. Step 6: Final answer
    x = 4,598.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.