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Finding the Fourth Proportional to 3,764.21, 5,189.49 and 2,505.33

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Solution

The fourth proportional to 3,764.21, 5,189.49 and 2,505.33 is: 3,453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.21 : 5,189.49 = 2,505.33 : x
  2. Step 2: Convert to fraction form
    3,764.21/5,189.49 = 2,505.33/x
  3. Step 3: Cross multiply
    3,764.21x = 5,189.49 × 2,505.33
  4. Step 4: Simplify right side
    3,764.21x = 13,001,384.98
  5. Step 5: Solve for x
    x = 13,001,384.98/3,764.21
  6. Step 6: Final answer
    x = 3,453.95

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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.