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Finding the Fourth Proportional to 3,982.18, 5,974.29 and 2,814.50

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Solution

The fourth proportional to 3,982.18, 5,974.29 and 2,814.50 is: 4,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.18 : 5,974.29 = 2,814.50 : x
  2. Step 2: Convert to fraction form
    3,982.18/5,974.29 = 2,814.50/x
  3. Step 3: Cross multiply
    3,982.18x = 5,974.29 × 2,814.50
  4. Step 4: Simplify right side
    3,982.18x = 16,814,639.21
  5. Step 5: Solve for x
    x = 16,814,639.21/3,982.18
  6. Step 6: Final answer
    x = 4,222.47

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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.