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Finding the Fourth Proportional to 3,453.02, 5,175.20 and 1,722.14

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Solution

The fourth proportional to 3,453.02, 5,175.20 and 1,722.14 is: 2,581.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.02 : 5,175.20 = 1,722.14 : x
  2. Step 2: Convert to fraction form
    3,453.02/5,175.20 = 1,722.14/x
  3. Step 3: Cross multiply
    3,453.02x = 5,175.20 × 1,722.14
  4. Step 4: Simplify right side
    3,453.02x = 8,912,397.36
  5. Step 5: Solve for x
    x = 8,912,397.36/3,453.02
  6. Step 6: Final answer
    x = 2,581.05

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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.