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Finding the Fourth Proportional to 3,694.77, 5,544.18 and 1,586.21

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Solution

The fourth proportional to 3,694.77, 5,544.18 and 1,586.21 is: 2,380.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.77 : 5,544.18 = 1,586.21 : x
  2. Step 2: Convert to fraction form
    3,694.77/5,544.18 = 1,586.21/x
  3. Step 3: Cross multiply
    3,694.77x = 5,544.18 × 1,586.21
  4. Step 4: Simplify right side
    3,694.77x = 8,794,206.04
  5. Step 5: Solve for x
    x = 8,794,206.04/3,694.77
  6. Step 6: Final answer
    x = 2,380.18

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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.