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Finding the Fourth Proportional to 3,644.96, 5,466.28 and 1,179.32

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Solution

The fourth proportional to 3,644.96, 5,466.28 and 1,179.32 is: 1,768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.96 : 5,466.28 = 1,179.32 : x
  2. Step 2: Convert to fraction form
    3,644.96/5,466.28 = 1,179.32/x
  3. Step 3: Cross multiply
    3,644.96x = 5,466.28 × 1,179.32
  4. Step 4: Simplify right side
    3,644.96x = 6,446,493.33
  5. Step 5: Solve for x
    x = 6,446,493.33/3,644.96
  6. Step 6: Final answer
    x = 1,768.60

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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.