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Finding the Fourth Proportional to 5,511.64, 8,268.30 and 3,830.20

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Solution

The fourth proportional to 5,511.64, 8,268.30 and 3,830.20 is: 5,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,511.64 : 8,268.30 = 3,830.20 : x
  2. Step 2: Convert to fraction form
    5,511.64/8,268.30 = 3,830.20/x
  3. Step 3: Cross multiply
    5,511.64x = 8,268.30 × 3,830.20
  4. Step 4: Simplify right side
    5,511.64x = 31,669,242.66
  5. Step 5: Solve for x
    x = 31,669,242.66/5,511.64
  6. Step 6: Final answer
    x = 5,745.88

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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.