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Finding the Fourth Proportional to 5,121.74, 7,680.58 and 2,198

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Solution

The fourth proportional to 5,121.74, 7,680.58 and 2,198 is: 3,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.74 : 7,680.58 = 2,198 : x
  2. Step 2: Convert to fraction form
    5,121.74/7,680.58 = 2,198/x
  3. Step 3: Cross multiply
    5,121.74x = 7,680.58 × 2,198
  4. Step 4: Simplify right side
    5,121.74x = 16,881,914.84
  5. Step 5: Solve for x
    x = 16,881,914.84/5,121.74
  6. Step 6: Final answer
    x = 3,296.13

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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.