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Finding the Fourth Proportional to 3,794.99, 5,233.67 and 2,378.81

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Solution

The fourth proportional to 3,794.99, 5,233.67 and 2,378.81 is: 3,280.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.99 : 5,233.67 = 2,378.81 : x
  2. Step 2: Convert to fraction form
    3,794.99/5,233.67 = 2,378.81/x
  3. Step 3: Cross multiply
    3,794.99x = 5,233.67 × 2,378.81
  4. Step 4: Simplify right side
    3,794.99x = 12,449,894.64
  5. Step 5: Solve for x
    x = 12,449,894.64/3,794.99
  6. Step 6: Final answer
    x = 3,280.62

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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.