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Finding the Fourth Proportional to 3,414.54, 5,120.73 and 1,223.13

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Solution

The fourth proportional to 3,414.54, 5,120.73 and 1,223.13 is: 1,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.54 : 5,120.73 = 1,223.13 : x
  2. Step 2: Convert to fraction form
    3,414.54/5,120.73 = 1,223.13/x
  3. Step 3: Cross multiply
    3,414.54x = 5,120.73 × 1,223.13
  4. Step 4: Simplify right side
    3,414.54x = 6,263,318.48
  5. Step 5: Solve for x
    x = 6,263,318.48/3,414.54
  6. Step 6: Final answer
    x = 1,834.31

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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.