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Finding the Fourth Proportional to 3,825.97, 5,737.57 and 1,453.07

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Solution

The fourth proportional to 3,825.97, 5,737.57 and 1,453.07 is: 2,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.97 : 5,737.57 = 1,453.07 : x
  2. Step 2: Convert to fraction form
    3,825.97/5,737.57 = 1,453.07/x
  3. Step 3: Cross multiply
    3,825.97x = 5,737.57 × 1,453.07
  4. Step 4: Simplify right side
    3,825.97x = 8,337,101.55
  5. Step 5: Solve for x
    x = 8,337,101.55/3,825.97
  6. Step 6: Final answer
    x = 2,179.08

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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.