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Finding the Fourth Proportional to 4,782.82, 7,174.20 and 2,833.63

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Solution

The fourth proportional to 4,782.82, 7,174.20 and 2,833.63 is: 4,250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.82 : 7,174.20 = 2,833.63 : x
  2. Step 2: Convert to fraction form
    4,782.82/7,174.20 = 2,833.63/x
  3. Step 3: Cross multiply
    4,782.82x = 7,174.20 × 2,833.63
  4. Step 4: Simplify right side
    4,782.82x = 20,329,028.35
  5. Step 5: Solve for x
    x = 20,329,028.35/4,782.82
  6. Step 6: Final answer
    x = 4,250.43

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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.