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Finding the Fourth Proportional to 3,799.24, 5,689.18 and 3,216.04

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Solution

The fourth proportional to 3,799.24, 5,689.18 and 3,216.04 is: 4,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.24 : 5,689.18 = 3,216.04 : x
  2. Step 2: Convert to fraction form
    3,799.24/5,689.18 = 3,216.04/x
  3. Step 3: Cross multiply
    3,799.24x = 5,689.18 × 3,216.04
  4. Step 4: Simplify right side
    3,799.24x = 18,296,630.45
  5. Step 5: Solve for x
    x = 18,296,630.45/3,799.24
  6. Step 6: Final answer
    x = 4,815.87

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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.