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Finding the Fourth Proportional to 3,793.76, 5,688.78 and 1,328.22

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Solution

The fourth proportional to 3,793.76, 5,688.78 and 1,328.22 is: 1,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.76 : 5,688.78 = 1,328.22 : x
  2. Step 2: Convert to fraction form
    3,793.76/5,688.78 = 1,328.22/x
  3. Step 3: Cross multiply
    3,793.76x = 5,688.78 × 1,328.22
  4. Step 4: Simplify right side
    3,793.76x = 7,555,969.86
  5. Step 5: Solve for x
    x = 7,555,969.86/3,793.76
  6. Step 6: Final answer
    x = 1,991.68

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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.