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Finding the Fourth Proportional to 3,676.73, 5,515.11 and 2,585.97

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Solution

The fourth proportional to 3,676.73, 5,515.11 and 2,585.97 is: 3,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.73 : 5,515.11 = 2,585.97 : x
  2. Step 2: Convert to fraction form
    3,676.73/5,515.11 = 2,585.97/x
  3. Step 3: Cross multiply
    3,676.73x = 5,515.11 × 2,585.97
  4. Step 4: Simplify right side
    3,676.73x = 14,261,909.01
  5. Step 5: Solve for x
    x = 14,261,909.01/3,676.73
  6. Step 6: Final answer
    x = 3,878.97

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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.