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Finding the Fourth Proportional to 3,584.49, 5,371.23 and 1,826.85

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Solution

The fourth proportional to 3,584.49, 5,371.23 and 1,826.85 is: 2,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.49 : 5,371.23 = 1,826.85 : x
  2. Step 2: Convert to fraction form
    3,584.49/5,371.23 = 1,826.85/x
  3. Step 3: Cross multiply
    3,584.49x = 5,371.23 × 1,826.85
  4. Step 4: Simplify right side
    3,584.49x = 9,812,431.53
  5. Step 5: Solve for x
    x = 9,812,431.53/3,584.49
  6. Step 6: Final answer
    x = 2,737.47

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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.