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Finding the Fourth Proportional to 3,674.57, 5,510.16 and 1,825.04

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Solution

The fourth proportional to 3,674.57, 5,510.16 and 1,825.04 is: 2,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.57 : 5,510.16 = 1,825.04 : x
  2. Step 2: Convert to fraction form
    3,674.57/5,510.16 = 1,825.04/x
  3. Step 3: Cross multiply
    3,674.57x = 5,510.16 × 1,825.04
  4. Step 4: Simplify right side
    3,674.57x = 10,056,234.86
  5. Step 5: Solve for x
    x = 10,056,234.86/3,674.57
  6. Step 6: Final answer
    x = 2,736.71

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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.