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Finding the Fourth Proportional to 3,764.54, 5,194.40 and 2,170.84

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Solution

The fourth proportional to 3,764.54, 5,194.40 and 2,170.84 is: 2,995.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.54 : 5,194.40 = 2,170.84 : x
  2. Step 2: Convert to fraction form
    3,764.54/5,194.40 = 2,170.84/x
  3. Step 3: Cross multiply
    3,764.54x = 5,194.40 × 2,170.84
  4. Step 4: Simplify right side
    3,764.54x = 11,276,187.46
  5. Step 5: Solve for x
    x = 11,276,187.46/3,764.54
  6. Step 6: Final answer
    x = 2,995.37

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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.