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Finding the Fourth Proportional to 3,825.54, 5,737.55 and 1,744.98

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Solution

The fourth proportional to 3,825.54, 5,737.55 and 1,744.98 is: 2,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.54 : 5,737.55 = 1,744.98 : x
  2. Step 2: Convert to fraction form
    3,825.54/5,737.55 = 1,744.98/x
  3. Step 3: Cross multiply
    3,825.54x = 5,737.55 × 1,744.98
  4. Step 4: Simplify right side
    3,825.54x = 10,011,910.00
  5. Step 5: Solve for x
    x = 10,011,910.00/3,825.54
  6. Step 6: Final answer
    x = 2,617.12

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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.