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Finding the Fourth Proportional to 4,077, 6,096.81 and 3,037.71

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Solution

The fourth proportional to 4,077, 6,096.81 and 3,037.71 is: 4,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077 : 6,096.81 = 3,037.71 : x
  2. Step 2: Convert to fraction form
    4,077/6,096.81 = 3,037.71/x
  3. Step 3: Cross multiply
    4,077x = 6,096.81 × 3,037.71
  4. Step 4: Simplify right side
    4,077x = 18,520,340.71
  5. Step 5: Solve for x
    x = 18,520,340.71/4,077
  6. Step 6: Final answer
    x = 4,542.64

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Why These Related Problems?

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