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Finding the Fourth Proportional to 4,163.64, 5,746.78 and 2,747.58

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Solution

The fourth proportional to 4,163.64, 5,746.78 and 2,747.58 is: 3,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.64 : 5,746.78 = 2,747.58 : x
  2. Step 2: Convert to fraction form
    4,163.64/5,746.78 = 2,747.58/x
  3. Step 3: Cross multiply
    4,163.64x = 5,746.78 × 2,747.58
  4. Step 4: Simplify right side
    4,163.64x = 15,789,737.79
  5. Step 5: Solve for x
    x = 15,789,737.79/4,163.64
  6. Step 6: Final answer
    x = 3,792.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.