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Finding the Fourth Proportional to 4,134, 6,201.96 and 2,977.68

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Solution

The fourth proportional to 4,134, 6,201.96 and 2,977.68 is: 4,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134 : 6,201.96 = 2,977.68 : x
  2. Step 2: Convert to fraction form
    4,134/6,201.96 = 2,977.68/x
  3. Step 3: Cross multiply
    4,134x = 6,201.96 × 2,977.68
  4. Step 4: Simplify right side
    4,134x = 18,467,452.25
  5. Step 5: Solve for x
    x = 18,467,452.25/4,134
  6. Step 6: Final answer
    x = 4,467.21

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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.