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Finding the Fourth Proportional to 3,764.26, 5,195.02 and 2,085.90

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Solution

The fourth proportional to 3,764.26, 5,195.02 and 2,085.90 is: 2,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.26 : 5,195.02 = 2,085.90 : x
  2. Step 2: Convert to fraction form
    3,764.26/5,195.02 = 2,085.90/x
  3. Step 3: Cross multiply
    3,764.26x = 5,195.02 × 2,085.90
  4. Step 4: Simplify right side
    3,764.26x = 10,836,292.22
  5. Step 5: Solve for x
    x = 10,836,292.22/3,764.26
  6. Step 6: Final answer
    x = 2,878.73

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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.