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Finding the Fourth Proportional to 3,825.16, 5,737.20 and 1,227.76

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Solution

The fourth proportional to 3,825.16, 5,737.20 and 1,227.76 is: 1,841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.16 : 5,737.20 = 1,227.76 : x
  2. Step 2: Convert to fraction form
    3,825.16/5,737.20 = 1,227.76/x
  3. Step 3: Cross multiply
    3,825.16x = 5,737.20 × 1,227.76
  4. Step 4: Simplify right side
    3,825.16x = 7,043,904.67
  5. Step 5: Solve for x
    x = 7,043,904.67/3,825.16
  6. Step 6: Final answer
    x = 1,841.47

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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.