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Finding the Fourth Proportional to 3,221.28, 4,832.16 and 2,668.32

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Solution

The fourth proportional to 3,221.28, 4,832.16 and 2,668.32 is: 4,002.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.28 : 4,832.16 = 2,668.32 : x
  2. Step 2: Convert to fraction form
    3,221.28/4,832.16 = 2,668.32/x
  3. Step 3: Cross multiply
    3,221.28x = 4,832.16 × 2,668.32
  4. Step 4: Simplify right side
    3,221.28x = 12,893,749.17
  5. Step 5: Solve for x
    x = 12,893,749.17/3,221.28
  6. Step 6: Final answer
    x = 4,002.68

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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.