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Finding the Fourth Proportional to 5,462.67, 8,195.76 and 2,542.89

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Solution

The fourth proportional to 5,462.67, 8,195.76 and 2,542.89 is: 3,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.67 : 8,195.76 = 2,542.89 : x
  2. Step 2: Convert to fraction form
    5,462.67/8,195.76 = 2,542.89/x
  3. Step 3: Cross multiply
    5,462.67x = 8,195.76 × 2,542.89
  4. Step 4: Simplify right side
    5,462.67x = 20,840,916.15
  5. Step 5: Solve for x
    x = 20,840,916.15/5,462.67
  6. Step 6: Final answer
    x = 3,815.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.