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Finding the Fourth Proportional to 5,638.70, 8,453.46 and 2,354.24

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Solution

The fourth proportional to 5,638.70, 8,453.46 and 2,354.24 is: 3,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.70 : 8,453.46 = 2,354.24 : x
  2. Step 2: Convert to fraction form
    5,638.70/8,453.46 = 2,354.24/x
  3. Step 3: Cross multiply
    5,638.70x = 8,453.46 × 2,354.24
  4. Step 4: Simplify right side
    5,638.70x = 19,901,473.67
  5. Step 5: Solve for x
    x = 19,901,473.67/5,638.70
  6. Step 6: Final answer
    x = 3,529.44

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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.