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Finding the Fourth Proportional to 4,082.62, 6,124.81 and 2,134.30

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Solution

The fourth proportional to 4,082.62, 6,124.81 and 2,134.30 is: 3,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.62 : 6,124.81 = 2,134.30 : x
  2. Step 2: Convert to fraction form
    4,082.62/6,124.81 = 2,134.30/x
  3. Step 3: Cross multiply
    4,082.62x = 6,124.81 × 2,134.30
  4. Step 4: Simplify right side
    4,082.62x = 13,072,181.98
  5. Step 5: Solve for x
    x = 13,072,181.98/4,082.62
  6. Step 6: Final answer
    x = 3,201.91

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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.