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Finding the Fourth Proportional to 3,879.79, 5,354.16 and 2,111.38

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Solution

The fourth proportional to 3,879.79, 5,354.16 and 2,111.38 is: 2,913.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.79 : 5,354.16 = 2,111.38 : x
  2. Step 2: Convert to fraction form
    3,879.79/5,354.16 = 2,111.38/x
  3. Step 3: Cross multiply
    3,879.79x = 5,354.16 × 2,111.38
  4. Step 4: Simplify right side
    3,879.79x = 11,304,666.34
  5. Step 5: Solve for x
    x = 11,304,666.34/3,879.79
  6. Step 6: Final answer
    x = 2,913.73

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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.