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Finding the Fourth Proportional to 3,633.64, 5,451.25 and 1,442.32

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Solution

The fourth proportional to 3,633.64, 5,451.25 and 1,442.32 is: 2,163.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.64 : 5,451.25 = 1,442.32 : x
  2. Step 2: Convert to fraction form
    3,633.64/5,451.25 = 1,442.32/x
  3. Step 3: Cross multiply
    3,633.64x = 5,451.25 × 1,442.32
  4. Step 4: Simplify right side
    3,633.64x = 7,862,429.67
  5. Step 5: Solve for x
    x = 7,862,429.67/3,633.64
  6. Step 6: Final answer
    x = 2,163.79

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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.