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Finding the Fourth Proportional to 3,764.17, 5,194.02 and 2,085.55

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Solution

The fourth proportional to 3,764.17, 5,194.02 and 2,085.55 is: 2,877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.17 : 5,194.02 = 2,085.55 : x
  2. Step 2: Convert to fraction form
    3,764.17/5,194.02 = 2,085.55/x
  3. Step 3: Cross multiply
    3,764.17x = 5,194.02 × 2,085.55
  4. Step 4: Simplify right side
    3,764.17x = 10,832,388.41
  5. Step 5: Solve for x
    x = 10,832,388.41/3,764.17
  6. Step 6: Final answer
    x = 2,877.76

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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.