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Finding the Fourth Proportional to 3,872.88, 5,336.28 and 3,397.14

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Solution

The fourth proportional to 3,872.88, 5,336.28 and 3,397.14 is: 4,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.88 : 5,336.28 = 3,397.14 : x
  2. Step 2: Convert to fraction form
    3,872.88/5,336.28 = 3,397.14/x
  3. Step 3: Cross multiply
    3,872.88x = 5,336.28 × 3,397.14
  4. Step 4: Simplify right side
    3,872.88x = 18,128,090.24
  5. Step 5: Solve for x
    x = 18,128,090.24/3,872.88
  6. Step 6: Final answer
    x = 4,680.78

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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.