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Finding the Fourth Proportional to 5,265.26, 7,899.26 and 1,755.80

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Solution

The fourth proportional to 5,265.26, 7,899.26 and 1,755.80 is: 2,634.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.26 : 7,899.26 = 1,755.80 : x
  2. Step 2: Convert to fraction form
    5,265.26/7,899.26 = 1,755.80/x
  3. Step 3: Cross multiply
    5,265.26x = 7,899.26 × 1,755.80
  4. Step 4: Simplify right side
    5,265.26x = 13,869,472.43
  5. Step 5: Solve for x
    x = 13,869,472.43/5,265.26
  6. Step 6: Final answer
    x = 2,634.15

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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.