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Finding the Fourth Proportional to 3,651.66, 5,469.25 and 2,560.89

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Solution

The fourth proportional to 3,651.66, 5,469.25 and 2,560.89 is: 3,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.66 : 5,469.25 = 2,560.89 : x
  2. Step 2: Convert to fraction form
    3,651.66/5,469.25 = 2,560.89/x
  3. Step 3: Cross multiply
    3,651.66x = 5,469.25 × 2,560.89
  4. Step 4: Simplify right side
    3,651.66x = 14,006,147.63
  5. Step 5: Solve for x
    x = 14,006,147.63/3,651.66
  6. Step 6: Final answer
    x = 3,835.56

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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.