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Finding the Fourth Proportional to 3,764.39, 5,194.77 and 2,085.80

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Solution

The fourth proportional to 3,764.39, 5,194.77 and 2,085.80 is: 2,878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.39 : 5,194.77 = 2,085.80 : x
  2. Step 2: Convert to fraction form
    3,764.39/5,194.77 = 2,085.80/x
  3. Step 3: Cross multiply
    3,764.39x = 5,194.77 × 2,085.80
  4. Step 4: Simplify right side
    3,764.39x = 10,835,225.29
  5. Step 5: Solve for x
    x = 10,835,225.29/3,764.39
  6. Step 6: Final answer
    x = 2,878.35

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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.