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Finding the Fourth Proportional to 3,879.43, 5,359.89 and 2,705.74

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Solution

The fourth proportional to 3,879.43, 5,359.89 and 2,705.74 is: 3,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.43 : 5,359.89 = 2,705.74 : x
  2. Step 2: Convert to fraction form
    3,879.43/5,359.89 = 2,705.74/x
  3. Step 3: Cross multiply
    3,879.43x = 5,359.89 × 2,705.74
  4. Step 4: Simplify right side
    3,879.43x = 14,502,475.40
  5. Step 5: Solve for x
    x = 14,502,475.40/3,879.43
  6. Step 6: Final answer
    x = 3,738.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.