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Finding the Fourth Proportional to 3,452.46, 5,178.75 and 1,812.21

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Solution

The fourth proportional to 3,452.46, 5,178.75 and 1,812.21 is: 2,718.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.46 : 5,178.75 = 1,812.21 : x
  2. Step 2: Convert to fraction form
    3,452.46/5,178.75 = 1,812.21/x
  3. Step 3: Cross multiply
    3,452.46x = 5,178.75 × 1,812.21
  4. Step 4: Simplify right side
    3,452.46x = 9,384,982.54
  5. Step 5: Solve for x
    x = 9,384,982.54/3,452.46
  6. Step 6: Final answer
    x = 2,718.35

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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.