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Finding the Fourth Proportional to 3,732.80, 5,599.08 and 3,674.06

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Solution

The fourth proportional to 3,732.80, 5,599.08 and 3,674.06 is: 5,510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.80 : 5,599.08 = 3,674.06 : x
  2. Step 2: Convert to fraction form
    3,732.80/5,599.08 = 3,674.06/x
  3. Step 3: Cross multiply
    3,732.80x = 5,599.08 × 3,674.06
  4. Step 4: Simplify right side
    3,732.80x = 20,571,355.86
  5. Step 5: Solve for x
    x = 20,571,355.86/3,732.80
  6. Step 6: Final answer
    x = 5,510.97

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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.