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Finding the Fourth Proportional to 3,767.28, 5,651.25 and 993.91

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Solution

The fourth proportional to 3,767.28, 5,651.25 and 993.91 is: 1,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.28 : 5,651.25 = 993.91 : x
  2. Step 2: Convert to fraction form
    3,767.28/5,651.25 = 993.91/x
  3. Step 3: Cross multiply
    3,767.28x = 5,651.25 × 993.91
  4. Step 4: Simplify right side
    3,767.28x = 5,616,833.89
  5. Step 5: Solve for x
    x = 5,616,833.89/3,767.28
  6. Step 6: Final answer
    x = 1,490.95

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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.