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Finding the Fourth Proportional to 3,644.76, 5,466.33 and 1,179.12

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Solution

The fourth proportional to 3,644.76, 5,466.33 and 1,179.12 is: 1,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.76 : 5,466.33 = 1,179.12 : x
  2. Step 2: Convert to fraction form
    3,644.76/5,466.33 = 1,179.12/x
  3. Step 3: Cross multiply
    3,644.76x = 5,466.33 × 1,179.12
  4. Step 4: Simplify right side
    3,644.76x = 6,445,459.03
  5. Step 5: Solve for x
    x = 6,445,459.03/3,644.76
  6. Step 6: Final answer
    x = 1,768.42

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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.