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Finding the Fourth Proportional to 3,183.15, 4,749.76 and 3,164.91

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Solution

The fourth proportional to 3,183.15, 4,749.76 and 3,164.91 is: 4,722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.15 : 4,749.76 = 3,164.91 : x
  2. Step 2: Convert to fraction form
    3,183.15/4,749.76 = 3,164.91/x
  3. Step 3: Cross multiply
    3,183.15x = 4,749.76 × 3,164.91
  4. Step 4: Simplify right side
    3,183.15x = 15,032,555.01
  5. Step 5: Solve for x
    x = 15,032,555.01/3,183.15
  6. Step 6: Final answer
    x = 4,722.54

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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.