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Finding the Fourth Proportional to 5,377.29, 7,414.23 and 4,629.96

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Solution

The fourth proportional to 5,377.29, 7,414.23 and 4,629.96 is: 6,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.29 : 7,414.23 = 4,629.96 : x
  2. Step 2: Convert to fraction form
    5,377.29/7,414.23 = 4,629.96/x
  3. Step 3: Cross multiply
    5,377.29x = 7,414.23 × 4,629.96
  4. Step 4: Simplify right side
    5,377.29x = 34,327,605.69
  5. Step 5: Solve for x
    x = 34,327,605.69/5,377.29
  6. Step 6: Final answer
    x = 6,383.82

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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.