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Finding the Fourth Proportional to 4,002.96, 6,004.44 and 1,229.64

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Solution

The fourth proportional to 4,002.96, 6,004.44 and 1,229.64 is: 1,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.96 : 6,004.44 = 1,229.64 : x
  2. Step 2: Convert to fraction form
    4,002.96/6,004.44 = 1,229.64/x
  3. Step 3: Cross multiply
    4,002.96x = 6,004.44 × 1,229.64
  4. Step 4: Simplify right side
    4,002.96x = 7,383,299.60
  5. Step 5: Solve for x
    x = 7,383,299.60/4,002.96
  6. Step 6: Final answer
    x = 1,844.46

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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.