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Finding the Fourth Proportional to 3,709.98, 5,119.38 and 2,218.20

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Solution

The fourth proportional to 3,709.98, 5,119.38 and 2,218.20 is: 3,060.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.98 : 5,119.38 = 2,218.20 : x
  2. Step 2: Convert to fraction form
    3,709.98/5,119.38 = 2,218.20/x
  3. Step 3: Cross multiply
    3,709.98x = 5,119.38 × 2,218.20
  4. Step 4: Simplify right side
    3,709.98x = 11,355,808.72
  5. Step 5: Solve for x
    x = 11,355,808.72/3,709.98
  6. Step 6: Final answer
    x = 3,060.88

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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.