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Finding the Fourth Proportional to 6,880.44, 10,324.74 and 2,498.22

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Solution

The fourth proportional to 6,880.44, 10,324.74 and 2,498.22 is: 3,748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.44 : 10,324.74 = 2,498.22 : x
  2. Step 2: Convert to fraction form
    6,880.44/10,324.74 = 2,498.22/x
  3. Step 3: Cross multiply
    6,880.44x = 10,324.74 × 2,498.22
  4. Step 4: Simplify right side
    6,880.44x = 25,793,471.96
  5. Step 5: Solve for x
    x = 25,793,471.96/6,880.44
  6. Step 6: Final answer
    x = 3,748.81

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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.