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Finding the Fourth Proportional to 3,825.09, 5,737.67 and 2,092.77

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Solution

The fourth proportional to 3,825.09, 5,737.67 and 2,092.77 is: 3,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.09 : 5,737.67 = 2,092.77 : x
  2. Step 2: Convert to fraction form
    3,825.09/5,737.67 = 2,092.77/x
  3. Step 3: Cross multiply
    3,825.09x = 5,737.67 × 2,092.77
  4. Step 4: Simplify right side
    3,825.09x = 12,007,613.18
  5. Step 5: Solve for x
    x = 12,007,613.18/3,825.09
  6. Step 6: Final answer
    x = 3,139.17

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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.