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Finding the Fourth Proportional to 4,982.25, 7,472.79 and 1,862.37

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Solution

The fourth proportional to 4,982.25, 7,472.79 and 1,862.37 is: 2,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.25 : 7,472.79 = 1,862.37 : x
  2. Step 2: Convert to fraction form
    4,982.25/7,472.79 = 1,862.37/x
  3. Step 3: Cross multiply
    4,982.25x = 7,472.79 × 1,862.37
  4. Step 4: Simplify right side
    4,982.25x = 13,917,099.91
  5. Step 5: Solve for x
    x = 13,917,099.91/4,982.25
  6. Step 6: Final answer
    x = 2,793.34

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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.