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Finding the Fourth Proportional to 3,644.55, 5,462.72 and 1,450.71

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Solution

The fourth proportional to 3,644.55, 5,462.72 and 1,450.71 is: 2,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.55 : 5,462.72 = 1,450.71 : x
  2. Step 2: Convert to fraction form
    3,644.55/5,462.72 = 1,450.71/x
  3. Step 3: Cross multiply
    3,644.55x = 5,462.72 × 1,450.71
  4. Step 4: Simplify right side
    3,644.55x = 7,924,815.28
  5. Step 5: Solve for x
    x = 7,924,815.28/3,644.55
  6. Step 6: Final answer
    x = 2,174.43

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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.