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Finding the Fourth Proportional to 3,658.82, 5,484.27 and 1,466.42

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Solution

The fourth proportional to 3,658.82, 5,484.27 and 1,466.42 is: 2,198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.82 : 5,484.27 = 1,466.42 : x
  2. Step 2: Convert to fraction form
    3,658.82/5,484.27 = 1,466.42/x
  3. Step 3: Cross multiply
    3,658.82x = 5,484.27 × 1,466.42
  4. Step 4: Simplify right side
    3,658.82x = 8,042,243.21
  5. Step 5: Solve for x
    x = 8,042,243.21/3,658.82
  6. Step 6: Final answer
    x = 2,198.04

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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.