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Finding the Fourth Proportional to 3,738.54, 5,158.98 and 2,167.14

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Solution

The fourth proportional to 3,738.54, 5,158.98 and 2,167.14 is: 2,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.54 : 5,158.98 = 2,167.14 : x
  2. Step 2: Convert to fraction form
    3,738.54/5,158.98 = 2,167.14/x
  3. Step 3: Cross multiply
    3,738.54x = 5,158.98 × 2,167.14
  4. Step 4: Simplify right side
    3,738.54x = 11,180,231.92
  5. Step 5: Solve for x
    x = 11,180,231.92/3,738.54
  6. Step 6: Final answer
    x = 2,990.53

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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.