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Finding the Fourth Proportional to 3,811.69, 5,716.25 and 1,278.27

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Solution

The fourth proportional to 3,811.69, 5,716.25 and 1,278.27 is: 1,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.69 : 5,716.25 = 1,278.27 : x
  2. Step 2: Convert to fraction form
    3,811.69/5,716.25 = 1,278.27/x
  3. Step 3: Cross multiply
    3,811.69x = 5,716.25 × 1,278.27
  4. Step 4: Simplify right side
    3,811.69x = 7,306,928.37
  5. Step 5: Solve for x
    x = 7,306,928.37/3,811.69
  6. Step 6: Final answer
    x = 1,916.98

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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.