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Finding the Fourth Proportional to 4,645.64, 6,407.39 and 3,229.31

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Solution

The fourth proportional to 4,645.64, 6,407.39 and 3,229.31 is: 4,453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.64 : 6,407.39 = 3,229.31 : x
  2. Step 2: Convert to fraction form
    4,645.64/6,407.39 = 3,229.31/x
  3. Step 3: Cross multiply
    4,645.64x = 6,407.39 × 3,229.31
  4. Step 4: Simplify right side
    4,645.64x = 20,691,472.69
  5. Step 5: Solve for x
    x = 20,691,472.69/4,645.64
  6. Step 6: Final answer
    x = 4,453.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.