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Finding the Fourth Proportional to 3,909.38, 5,394.90 and 2,116.83

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Solution

The fourth proportional to 3,909.38, 5,394.90 and 2,116.83 is: 2,921.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.38 : 5,394.90 = 2,116.83 : x
  2. Step 2: Convert to fraction form
    3,909.38/5,394.90 = 2,116.83/x
  3. Step 3: Cross multiply
    3,909.38x = 5,394.90 × 2,116.83
  4. Step 4: Simplify right side
    3,909.38x = 11,420,114.34
  5. Step 5: Solve for x
    x = 11,420,114.34/3,909.38
  6. Step 6: Final answer
    x = 2,921.21

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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.