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Finding the Fourth Proportional to 3,782.11, 5,673.17 and 1,185.25

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Solution

The fourth proportional to 3,782.11, 5,673.17 and 1,185.25 is: 1,777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.11 : 5,673.17 = 1,185.25 : x
  2. Step 2: Convert to fraction form
    3,782.11/5,673.17 = 1,185.25/x
  3. Step 3: Cross multiply
    3,782.11x = 5,673.17 × 1,185.25
  4. Step 4: Simplify right side
    3,782.11x = 6,724,124.74
  5. Step 5: Solve for x
    x = 6,724,124.74/3,782.11
  6. Step 6: Final answer
    x = 1,777.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.