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Finding the Fourth Proportional to 3,782.29, 5,672.64 and 1,441.48

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Solution

The fourth proportional to 3,782.29, 5,672.64 and 1,441.48 is: 2,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.29 : 5,672.64 = 1,441.48 : x
  2. Step 2: Convert to fraction form
    3,782.29/5,672.64 = 1,441.48/x
  3. Step 3: Cross multiply
    3,782.29x = 5,672.64 × 1,441.48
  4. Step 4: Simplify right side
    3,782.29x = 8,176,997.11
  5. Step 5: Solve for x
    x = 8,176,997.11/3,782.29
  6. Step 6: Final answer
    x = 2,161.92

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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.