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Finding the Fourth Proportional to 6,881.49, 10,321.53 and 2,438.44

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Solution

The fourth proportional to 6,881.49, 10,321.53 and 2,438.44 is: 3,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.49 : 10,321.53 = 2,438.44 : x
  2. Step 2: Convert to fraction form
    6,881.49/10,321.53 = 2,438.44/x
  3. Step 3: Cross multiply
    6,881.49x = 10,321.53 × 2,438.44
  4. Step 4: Simplify right side
    6,881.49x = 25,168,396.67
  5. Step 5: Solve for x
    x = 25,168,396.67/6,881.49
  6. Step 6: Final answer
    x = 3,657.41

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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.