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Finding the Fourth Proportional to 3,764.54, 5,194.65 and 2,085.90

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Solution

The fourth proportional to 3,764.54, 5,194.65 and 2,085.90 is: 2,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.54 : 5,194.65 = 2,085.90 : x
  2. Step 2: Convert to fraction form
    3,764.54/5,194.65 = 2,085.90/x
  3. Step 3: Cross multiply
    3,764.54x = 5,194.65 × 2,085.90
  4. Step 4: Simplify right side
    3,764.54x = 10,835,520.44
  5. Step 5: Solve for x
    x = 10,835,520.44/3,764.54
  6. Step 6: Final answer
    x = 2,878.31

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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.