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Finding the Fourth Proportional to 4,782.42, 7,163.03 and 2,927.97

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Solution

The fourth proportional to 4,782.42, 7,163.03 and 2,927.97 is: 4,385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.42 : 7,163.03 = 2,927.97 : x
  2. Step 2: Convert to fraction form
    4,782.42/7,163.03 = 2,927.97/x
  3. Step 3: Cross multiply
    4,782.42x = 7,163.03 × 2,927.97
  4. Step 4: Simplify right side
    4,782.42x = 20,973,122.31
  5. Step 5: Solve for x
    x = 20,973,122.31/4,782.42
  6. Step 6: Final answer
    x = 4,385.46

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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.