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Finding the Fourth Proportional to 3,354.52, 5,029.66 and 1,163.42

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Solution

The fourth proportional to 3,354.52, 5,029.66 and 1,163.42 is: 1,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.52 : 5,029.66 = 1,163.42 : x
  2. Step 2: Convert to fraction form
    3,354.52/5,029.66 = 1,163.42/x
  3. Step 3: Cross multiply
    3,354.52x = 5,029.66 × 1,163.42
  4. Step 4: Simplify right side
    3,354.52x = 5,851,607.04
  5. Step 5: Solve for x
    x = 5,851,607.04/3,354.52
  6. Step 6: Final answer
    x = 1,744.39

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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.