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Finding the Fourth Proportional to 3,764.62, 5,195.07 and 2,085.96

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Solution

The fourth proportional to 3,764.62, 5,195.07 and 2,085.96 is: 2,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.62 : 5,195.07 = 2,085.96 : x
  2. Step 2: Convert to fraction form
    3,764.62/5,195.07 = 2,085.96/x
  3. Step 3: Cross multiply
    3,764.62x = 5,195.07 × 2,085.96
  4. Step 4: Simplify right side
    3,764.62x = 10,836,708.22
  5. Step 5: Solve for x
    x = 10,836,708.22/3,764.62
  6. Step 6: Final answer
    x = 2,878.57

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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.