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Finding the Fourth Proportional to 4,755.26, 7,129.02 and 1,984.02

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Solution

The fourth proportional to 4,755.26, 7,129.02 and 1,984.02 is: 2,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.26 : 7,129.02 = 1,984.02 : x
  2. Step 2: Convert to fraction form
    4,755.26/7,129.02 = 1,984.02/x
  3. Step 3: Cross multiply
    4,755.26x = 7,129.02 × 1,984.02
  4. Step 4: Simplify right side
    4,755.26x = 14,144,118.26
  5. Step 5: Solve for x
    x = 14,144,118.26/4,755.26
  6. Step 6: Final answer
    x = 2,974.42

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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.