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Finding the Fourth Proportional to 5,171.74, 7,757.07 and 2,051.08

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Solution

The fourth proportional to 5,171.74, 7,757.07 and 2,051.08 is: 3,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.74 : 7,757.07 = 2,051.08 : x
  2. Step 2: Convert to fraction form
    5,171.74/7,757.07 = 2,051.08/x
  3. Step 3: Cross multiply
    5,171.74x = 7,757.07 × 2,051.08
  4. Step 4: Simplify right side
    5,171.74x = 15,910,371.14
  5. Step 5: Solve for x
    x = 15,910,371.14/5,171.74
  6. Step 6: Final answer
    x = 3,076.41

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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.