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Finding the Fourth Proportional to 3,704.54, 5,109.38 and 2,212.14

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Solution

The fourth proportional to 3,704.54, 5,109.38 and 2,212.14 is: 3,051.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.54 : 5,109.38 = 2,212.14 : x
  2. Step 2: Convert to fraction form
    3,704.54/5,109.38 = 2,212.14/x
  3. Step 3: Cross multiply
    3,704.54x = 5,109.38 × 2,212.14
  4. Step 4: Simplify right side
    3,704.54x = 11,302,637.16
  5. Step 5: Solve for x
    x = 11,302,637.16/3,704.54
  6. Step 6: Final answer
    x = 3,051.03

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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.