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Finding the Fourth Proportional to 3,738.98, 5,160.71 and 2,167.99

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Solution

The fourth proportional to 3,738.98, 5,160.71 and 2,167.99 is: 2,992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.98 : 5,160.71 = 2,167.99 : x
  2. Step 2: Convert to fraction form
    3,738.98/5,160.71 = 2,167.99/x
  3. Step 3: Cross multiply
    3,738.98x = 5,160.71 × 2,167.99
  4. Step 4: Simplify right side
    3,738.98x = 11,188,367.67
  5. Step 5: Solve for x
    x = 11,188,367.67/3,738.98
  6. Step 6: Final answer
    x = 2,992.36

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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.