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Finding the Fourth Proportional to 3,452.56, 5,175.90 and 1,374.03

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Solution

The fourth proportional to 3,452.56, 5,175.90 and 1,374.03 is: 2,059.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.56 : 5,175.90 = 1,374.03 : x
  2. Step 2: Convert to fraction form
    3,452.56/5,175.90 = 1,374.03/x
  3. Step 3: Cross multiply
    3,452.56x = 5,175.90 × 1,374.03
  4. Step 4: Simplify right side
    3,452.56x = 7,111,841.88
  5. Step 5: Solve for x
    x = 7,111,841.88/3,452.56
  6. Step 6: Final answer
    x = 2,059.87

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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.