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Finding the Fourth Proportional to 4,672.82, 6,451.73 and 2,905.22

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Solution

The fourth proportional to 4,672.82, 6,451.73 and 2,905.22 is: 4,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.82 : 6,451.73 = 2,905.22 : x
  2. Step 2: Convert to fraction form
    4,672.82/6,451.73 = 2,905.22/x
  3. Step 3: Cross multiply
    4,672.82x = 6,451.73 × 2,905.22
  4. Step 4: Simplify right side
    4,672.82x = 18,743,648.25
  5. Step 5: Solve for x
    x = 18,743,648.25/4,672.82
  6. Step 6: Final answer
    x = 4,011.21

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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.