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Finding the Fourth Proportional to 3,734.40, 5,604.48 and 2,003.52

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Solution

The fourth proportional to 3,734.40, 5,604.48 and 2,003.52 is: 3,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.40 : 5,604.48 = 2,003.52 : x
  2. Step 2: Convert to fraction form
    3,734.40/5,604.48 = 2,003.52/x
  3. Step 3: Cross multiply
    3,734.40x = 5,604.48 × 2,003.52
  4. Step 4: Simplify right side
    3,734.40x = 11,228,687.77
  5. Step 5: Solve for x
    x = 11,228,687.77/3,734.40
  6. Step 6: Final answer
    x = 3,006.83

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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.