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Finding the Fourth Proportional to 3,827.54, 5,732.19 and 2,658.71

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Solution

The fourth proportional to 3,827.54, 5,732.19 and 2,658.71 is: 3,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.54 : 5,732.19 = 2,658.71 : x
  2. Step 2: Convert to fraction form
    3,827.54/5,732.19 = 2,658.71/x
  3. Step 3: Cross multiply
    3,827.54x = 5,732.19 × 2,658.71
  4. Step 4: Simplify right side
    3,827.54x = 15,240,202.21
  5. Step 5: Solve for x
    x = 15,240,202.21/3,827.54
  6. Step 6: Final answer
    x = 3,981.73

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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.