Home / 4,057.46-6,084-2,082.27

Finding the Fourth Proportional to 4,057.46, 6,084 and 2,082.27

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Solution

The fourth proportional to 4,057.46, 6,084 and 2,082.27 is: 3,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.46 : 6,084 = 2,082.27 : x
  2. Step 2: Convert to fraction form
    4,057.46/6,084 = 2,082.27/x
  3. Step 3: Cross multiply
    4,057.46x = 6,084 × 2,082.27
  4. Step 4: Simplify right side
    4,057.46x = 12,668,530.68
  5. Step 5: Solve for x
    x = 12,668,530.68/4,057.46
  6. Step 6: Final answer
    x = 3,122.28

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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.