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Finding the Fourth Proportional to 3,604.15, 5,380.16 and 3,166.75

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Solution

The fourth proportional to 3,604.15, 5,380.16 and 3,166.75 is: 4,727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.15 : 5,380.16 = 3,166.75 : x
  2. Step 2: Convert to fraction form
    3,604.15/5,380.16 = 3,166.75/x
  3. Step 3: Cross multiply
    3,604.15x = 5,380.16 × 3,166.75
  4. Step 4: Simplify right side
    3,604.15x = 17,037,621.68
  5. Step 5: Solve for x
    x = 17,037,621.68/3,604.15
  6. Step 6: Final answer
    x = 4,727.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.