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Finding the Fourth Proportional to 3,680.69, 5,520.43 and 1,706.24

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Solution

The fourth proportional to 3,680.69, 5,520.43 and 1,706.24 is: 2,559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.69 : 5,520.43 = 1,706.24 : x
  2. Step 2: Convert to fraction form
    3,680.69/5,520.43 = 1,706.24/x
  3. Step 3: Cross multiply
    3,680.69x = 5,520.43 × 1,706.24
  4. Step 4: Simplify right side
    3,680.69x = 9,419,174.09
  5. Step 5: Solve for x
    x = 9,419,174.09/3,680.69
  6. Step 6: Final answer
    x = 2,559.08

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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.