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Finding the Fourth Proportional to 3,679.96, 5,078.81 and 2,108.05

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Solution

The fourth proportional to 3,679.96, 5,078.81 and 2,108.05 is: 2,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.96 : 5,078.81 = 2,108.05 : x
  2. Step 2: Convert to fraction form
    3,679.96/5,078.81 = 2,108.05/x
  3. Step 3: Cross multiply
    3,679.96x = 5,078.81 × 2,108.05
  4. Step 4: Simplify right side
    3,679.96x = 10,706,385.42
  5. Step 5: Solve for x
    x = 10,706,385.42/3,679.96
  6. Step 6: Final answer
    x = 2,909.38

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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.