Home / 3,412-5,110.56-2,091.75

Finding the Fourth Proportional to 3,412, 5,110.56 and 2,091.75

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Solution

The fourth proportional to 3,412, 5,110.56 and 2,091.75 is: 3,133.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412 : 5,110.56 = 2,091.75 : x
  2. Step 2: Convert to fraction form
    3,412/5,110.56 = 2,091.75/x
  3. Step 3: Cross multiply
    3,412x = 5,110.56 × 2,091.75
  4. Step 4: Simplify right side
    3,412x = 10,690,013.88
  5. Step 5: Solve for x
    x = 10,690,013.88/3,412
  6. Step 6: Final answer
    x = 3,133.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.