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Finding the Fourth Proportional to 3,617.71, 5,414.24 and 3,033.37

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Solution

The fourth proportional to 3,617.71, 5,414.24 and 3,033.37 is: 4,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.71 : 5,414.24 = 3,033.37 : x
  2. Step 2: Convert to fraction form
    3,617.71/5,414.24 = 3,033.37/x
  3. Step 3: Cross multiply
    3,617.71x = 5,414.24 × 3,033.37
  4. Step 4: Simplify right side
    3,617.71x = 16,423,422.77
  5. Step 5: Solve for x
    x = 16,423,422.77/3,617.71
  6. Step 6: Final answer
    x = 4,539.73

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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.