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Finding the Fourth Proportional to 3,409.56, 5,114.34 and 2,255.04

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Solution

The fourth proportional to 3,409.56, 5,114.34 and 2,255.04 is: 3,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.56 : 5,114.34 = 2,255.04 : x
  2. Step 2: Convert to fraction form
    3,409.56/5,114.34 = 2,255.04/x
  3. Step 3: Cross multiply
    3,409.56x = 5,114.34 × 2,255.04
  4. Step 4: Simplify right side
    3,409.56x = 11,533,041.27
  5. Step 5: Solve for x
    x = 11,533,041.27/3,409.56
  6. Step 6: Final answer
    x = 3,382.56

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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.