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Finding the Fourth Proportional to 3,644.40, 5,466.60 and 1,179.30

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Solution

The fourth proportional to 3,644.40, 5,466.60 and 1,179.30 is: 1,768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.40 : 5,466.60 = 1,179.30 : x
  2. Step 2: Convert to fraction form
    3,644.40/5,466.60 = 1,179.30/x
  3. Step 3: Cross multiply
    3,644.40x = 5,466.60 × 1,179.30
  4. Step 4: Simplify right side
    3,644.40x = 6,446,761.38
  5. Step 5: Solve for x
    x = 6,446,761.38/3,644.40
  6. Step 6: Final answer
    x = 1,768.95

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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.