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Finding the Fourth Proportional to 5,122.78, 7,686.01 and 2,161.96

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Solution

The fourth proportional to 5,122.78, 7,686.01 and 2,161.96 is: 3,243.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.78 : 7,686.01 = 2,161.96 : x
  2. Step 2: Convert to fraction form
    5,122.78/7,686.01 = 2,161.96/x
  3. Step 3: Cross multiply
    5,122.78x = 7,686.01 × 2,161.96
  4. Step 4: Simplify right side
    5,122.78x = 16,616,859.99
  5. Step 5: Solve for x
    x = 16,616,859.99/5,122.78
  6. Step 6: Final answer
    x = 3,243.72

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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.