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Finding the Fourth Proportional to 4,636.67, 6,397.66 and 2,747.42

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Solution

The fourth proportional to 4,636.67, 6,397.66 and 2,747.42 is: 3,790.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.67 : 6,397.66 = 2,747.42 : x
  2. Step 2: Convert to fraction form
    4,636.67/6,397.66 = 2,747.42/x
  3. Step 3: Cross multiply
    4,636.67x = 6,397.66 × 2,747.42
  4. Step 4: Simplify right side
    4,636.67x = 17,577,046.75
  5. Step 5: Solve for x
    x = 17,577,046.75/4,636.67
  6. Step 6: Final answer
    x = 3,790.88

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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.