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Finding the Fourth Proportional to 4,982.73, 7,474.30 and 1,862.42

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Solution

The fourth proportional to 4,982.73, 7,474.30 and 1,862.42 is: 2,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.73 : 7,474.30 = 1,862.42 : x
  2. Step 2: Convert to fraction form
    4,982.73/7,474.30 = 1,862.42/x
  3. Step 3: Cross multiply
    4,982.73x = 7,474.30 × 1,862.42
  4. Step 4: Simplify right side
    4,982.73x = 13,920,270.04
  5. Step 5: Solve for x
    x = 13,920,270.04/4,982.73
  6. Step 6: Final answer
    x = 2,793.70

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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.