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Finding the Fourth Proportional to 3,644.60, 5,469.61 and 2,709.69

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Solution

The fourth proportional to 3,644.60, 5,469.61 and 2,709.69 is: 4,066.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.60 : 5,469.61 = 2,709.69 : x
  2. Step 2: Convert to fraction form
    3,644.60/5,469.61 = 2,709.69/x
  3. Step 3: Cross multiply
    3,644.60x = 5,469.61 × 2,709.69
  4. Step 4: Simplify right side
    3,644.60x = 14,820,947.52
  5. Step 5: Solve for x
    x = 14,820,947.52/3,644.60
  6. Step 6: Final answer
    x = 4,066.55

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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.