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Finding the Fourth Proportional to 4,645.90, 6,407.74 and 3,229.56

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Solution

The fourth proportional to 4,645.90, 6,407.74 and 3,229.56 is: 4,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.90 : 6,407.74 = 3,229.56 : x
  2. Step 2: Convert to fraction form
    4,645.90/6,407.74 = 3,229.56/x
  3. Step 3: Cross multiply
    4,645.90x = 6,407.74 × 3,229.56
  4. Step 4: Simplify right side
    4,645.90x = 20,694,180.79
  5. Step 5: Solve for x
    x = 20,694,180.79/4,645.90
  6. Step 6: Final answer
    x = 4,454.29

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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.