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Finding the Fourth Proportional to 3,780.53, 5,672.43 and 1,441.24

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Solution

The fourth proportional to 3,780.53, 5,672.43 and 1,441.24 is: 2,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.53 : 5,672.43 = 1,441.24 : x
  2. Step 2: Convert to fraction form
    3,780.53/5,672.43 = 1,441.24/x
  3. Step 3: Cross multiply
    3,780.53x = 5,672.43 × 1,441.24
  4. Step 4: Simplify right side
    3,780.53x = 8,175,318.83
  5. Step 5: Solve for x
    x = 8,175,318.83/3,780.53
  6. Step 6: Final answer
    x = 2,162.48

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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.