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Finding the Fourth Proportional to 4,753.26, 7,126.02 and 1,982.02

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Solution

The fourth proportional to 4,753.26, 7,126.02 and 1,982.02 is: 2,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.26 : 7,126.02 = 1,982.02 : x
  2. Step 2: Convert to fraction form
    4,753.26/7,126.02 = 1,982.02/x
  3. Step 3: Cross multiply
    4,753.26x = 7,126.02 × 1,982.02
  4. Step 4: Simplify right side
    4,753.26x = 14,123,914.16
  5. Step 5: Solve for x
    x = 14,123,914.16/4,753.26
  6. Step 6: Final answer
    x = 2,971.42

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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.