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Finding the Fourth Proportional to 3,832.10, 5,745.10 and 3,524.57

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Solution

The fourth proportional to 3,832.10, 5,745.10 and 3,524.57 is: 5,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.10 : 5,745.10 = 3,524.57 : x
  2. Step 2: Convert to fraction form
    3,832.10/5,745.10 = 3,524.57/x
  3. Step 3: Cross multiply
    3,832.10x = 5,745.10 × 3,524.57
  4. Step 4: Simplify right side
    3,832.10x = 20,249,012.66
  5. Step 5: Solve for x
    x = 20,249,012.66/3,832.10
  6. Step 6: Final answer
    x = 5,284.05

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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.