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Finding the Fourth Proportional to 3,744.70, 5,616.60 and 2,185.60

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Solution

The fourth proportional to 3,744.70, 5,616.60 and 2,185.60 is: 3,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.70 : 5,616.60 = 2,185.60 : x
  2. Step 2: Convert to fraction form
    3,744.70/5,616.60 = 2,185.60/x
  3. Step 3: Cross multiply
    3,744.70x = 5,616.60 × 2,185.60
  4. Step 4: Simplify right side
    3,744.70x = 12,275,640.96
  5. Step 5: Solve for x
    x = 12,275,640.96/3,744.70
  6. Step 6: Final answer
    x = 3,278.14

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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.