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Finding the Fourth Proportional to 3,832.17, 5,745.19 and 3,524.64

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Solution

The fourth proportional to 3,832.17, 5,745.19 and 3,524.64 is: 5,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.17 : 5,745.19 = 3,524.64 : x
  2. Step 2: Convert to fraction form
    3,832.17/5,745.19 = 3,524.64/x
  3. Step 3: Cross multiply
    3,832.17x = 5,745.19 × 3,524.64
  4. Step 4: Simplify right side
    3,832.17x = 20,249,726.48
  5. Step 5: Solve for x
    x = 20,249,726.48/3,832.17
  6. Step 6: Final answer
    x = 5,284.14

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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.