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Finding the Fourth Proportional to 5,105.25, 7,658.01 and 2,027.25

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Solution

The fourth proportional to 5,105.25, 7,658.01 and 2,027.25 is: 3,040.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.25 : 7,658.01 = 2,027.25 : x
  2. Step 2: Convert to fraction form
    5,105.25/7,658.01 = 2,027.25/x
  3. Step 3: Cross multiply
    5,105.25x = 7,658.01 × 2,027.25
  4. Step 4: Simplify right side
    5,105.25x = 15,524,700.77
  5. Step 5: Solve for x
    x = 15,524,700.77/5,105.25
  6. Step 6: Final answer
    x = 3,040.93

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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.