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Finding the Fourth Proportional to 3,462.26, 5,193.40 and 1,410.26

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Solution

The fourth proportional to 3,462.26, 5,193.40 and 1,410.26 is: 2,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.26 : 5,193.40 = 1,410.26 : x
  2. Step 2: Convert to fraction form
    3,462.26/5,193.40 = 1,410.26/x
  3. Step 3: Cross multiply
    3,462.26x = 5,193.40 × 1,410.26
  4. Step 4: Simplify right side
    3,462.26x = 7,324,044.28
  5. Step 5: Solve for x
    x = 7,324,044.28/3,462.26
  6. Step 6: Final answer
    x = 2,115.39

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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.