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Finding the Fourth Proportional to 4,161.62, 5,731.41 and 3,456.56

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Solution

The fourth proportional to 4,161.62, 5,731.41 and 3,456.56 is: 4,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.62 : 5,731.41 = 3,456.56 : x
  2. Step 2: Convert to fraction form
    4,161.62/5,731.41 = 3,456.56/x
  3. Step 3: Cross multiply
    4,161.62x = 5,731.41 × 3,456.56
  4. Step 4: Simplify right side
    4,161.62x = 19,810,962.55
  5. Step 5: Solve for x
    x = 19,810,962.55/4,161.62
  6. Step 6: Final answer
    x = 4,760.40

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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.