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Finding the Fourth Proportional to 4,902.29, 6,765.17 and 2,664.15

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Solution

The fourth proportional to 4,902.29, 6,765.17 and 2,664.15 is: 3,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.29 : 6,765.17 = 2,664.15 : x
  2. Step 2: Convert to fraction form
    4,902.29/6,765.17 = 2,664.15/x
  3. Step 3: Cross multiply
    4,902.29x = 6,765.17 × 2,664.15
  4. Step 4: Simplify right side
    4,902.29x = 18,023,414.33
  5. Step 5: Solve for x
    x = 18,023,414.33/4,902.29
  6. Step 6: Final answer
    x = 3,676.53

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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.