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Finding the Fourth Proportional to 3,409.28, 5,108.96 and 1,847.96

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Solution

The fourth proportional to 3,409.28, 5,108.96 and 1,847.96 is: 2,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.28 : 5,108.96 = 1,847.96 : x
  2. Step 2: Convert to fraction form
    3,409.28/5,108.96 = 1,847.96/x
  3. Step 3: Cross multiply
    3,409.28x = 5,108.96 × 1,847.96
  4. Step 4: Simplify right side
    3,409.28x = 9,441,153.72
  5. Step 5: Solve for x
    x = 9,441,153.72/3,409.28
  6. Step 6: Final answer
    x = 2,769.25

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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.