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Finding the Fourth Proportional to 3,584.40, 5,374.44 and 1,638.24

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Solution

The fourth proportional to 3,584.40, 5,374.44 and 1,638.24 is: 2,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.40 : 5,374.44 = 1,638.24 : x
  2. Step 2: Convert to fraction form
    3,584.40/5,374.44 = 1,638.24/x
  3. Step 3: Cross multiply
    3,584.40x = 5,374.44 × 1,638.24
  4. Step 4: Simplify right side
    3,584.40x = 8,804,622.59
  5. Step 5: Solve for x
    x = 8,804,622.59/3,584.40
  6. Step 6: Final answer
    x = 2,456.37

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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.