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Finding the Fourth Proportional to 3,642.67, 5,463.20 and 1,450.81

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Solution

The fourth proportional to 3,642.67, 5,463.20 and 1,450.81 is: 2,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.67 : 5,463.20 = 1,450.81 : x
  2. Step 2: Convert to fraction form
    3,642.67/5,463.20 = 1,450.81/x
  3. Step 3: Cross multiply
    3,642.67x = 5,463.20 × 1,450.81
  4. Step 4: Simplify right side
    3,642.67x = 7,926,057.94
  5. Step 5: Solve for x
    x = 7,926,057.94/3,642.67
  6. Step 6: Final answer
    x = 2,175.89

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Why These Related Problems?

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