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Finding the Fourth Proportional to 3,980.53, 5,493.38 and 2,212.14

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Solution

The fourth proportional to 3,980.53, 5,493.38 and 2,212.14 is: 3,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.53 : 5,493.38 = 2,212.14 : x
  2. Step 2: Convert to fraction form
    3,980.53/5,493.38 = 2,212.14/x
  3. Step 3: Cross multiply
    3,980.53x = 5,493.38 × 2,212.14
  4. Step 4: Simplify right side
    3,980.53x = 12,152,125.63
  5. Step 5: Solve for x
    x = 12,152,125.63/3,980.53
  6. Step 6: Final answer
    x = 3,052.89

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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.