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Finding the Fourth Proportional to 3,778.91, 5,660.15 and 1,827

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Solution

The fourth proportional to 3,778.91, 5,660.15 and 1,827 is: 2,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.91 : 5,660.15 = 1,827 : x
  2. Step 2: Convert to fraction form
    3,778.91/5,660.15 = 1,827/x
  3. Step 3: Cross multiply
    3,778.91x = 5,660.15 × 1,827
  4. Step 4: Simplify right side
    3,778.91x = 10,341,084.92
  5. Step 5: Solve for x
    x = 10,341,084.92/3,778.91
  6. Step 6: Final answer
    x = 2,736.53

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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.