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Finding the Fourth Proportional to 3,735.44, 5,604.60 and 1,682

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Solution

The fourth proportional to 3,735.44, 5,604.60 and 1,682 is: 2,523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.44 : 5,604.60 = 1,682 : x
  2. Step 2: Convert to fraction form
    3,735.44/5,604.60 = 1,682/x
  3. Step 3: Cross multiply
    3,735.44x = 5,604.60 × 1,682
  4. Step 4: Simplify right side
    3,735.44x = 9,426,937.20
  5. Step 5: Solve for x
    x = 9,426,937.20/3,735.44
  6. Step 6: Final answer
    x = 2,523.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.