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Finding the Fourth Proportional to 6,022.40, 9,033.54 and 1,639.82

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Solution

The fourth proportional to 6,022.40, 9,033.54 and 1,639.82 is: 2,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.40 : 9,033.54 = 1,639.82 : x
  2. Step 2: Convert to fraction form
    6,022.40/9,033.54 = 1,639.82/x
  3. Step 3: Cross multiply
    6,022.40x = 9,033.54 × 1,639.82
  4. Step 4: Simplify right side
    6,022.40x = 14,813,379.56
  5. Step 5: Solve for x
    x = 14,813,379.56/6,022.40
  6. Step 6: Final answer
    x = 2,459.71

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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.