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Finding the Fourth Proportional to 3,759.26, 5,186.13 and 2,266.32

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Solution

The fourth proportional to 3,759.26, 5,186.13 and 2,266.32 is: 3,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.26 : 5,186.13 = 2,266.32 : x
  2. Step 2: Convert to fraction form
    3,759.26/5,186.13 = 2,266.32/x
  3. Step 3: Cross multiply
    3,759.26x = 5,186.13 × 2,266.32
  4. Step 4: Simplify right side
    3,759.26x = 11,753,430.14
  5. Step 5: Solve for x
    x = 11,753,430.14/3,759.26
  6. Step 6: Final answer
    x = 3,126.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.