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Finding the Fourth Proportional to 3,879.49, 5,816.64 and 1,414

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Solution

The fourth proportional to 3,879.49, 5,816.64 and 1,414 is: 2,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.49 : 5,816.64 = 1,414 : x
  2. Step 2: Convert to fraction form
    3,879.49/5,816.64 = 1,414/x
  3. Step 3: Cross multiply
    3,879.49x = 5,816.64 × 1,414
  4. Step 4: Simplify right side
    3,879.49x = 8,224,728.96
  5. Step 5: Solve for x
    x = 8,224,728.96/3,879.49
  6. Step 6: Final answer
    x = 2,120.05

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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.