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Finding the Fourth Proportional to 3,811.72, 5,701.76 and 3,578.44

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Solution

The fourth proportional to 3,811.72, 5,701.76 and 3,578.44 is: 5,352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.72 : 5,701.76 = 3,578.44 : x
  2. Step 2: Convert to fraction form
    3,811.72/5,701.76 = 3,578.44/x
  3. Step 3: Cross multiply
    3,811.72x = 5,701.76 × 3,578.44
  4. Step 4: Simplify right side
    3,811.72x = 20,403,406.05
  5. Step 5: Solve for x
    x = 20,403,406.05/3,811.72
  6. Step 6: Final answer
    x = 5,352.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.