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Finding the Fourth Proportional to 5,496.24, 8,230.50 and 3,641.80

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Solution

The fourth proportional to 5,496.24, 8,230.50 and 3,641.80 is: 5,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.24 : 8,230.50 = 3,641.80 : x
  2. Step 2: Convert to fraction form
    5,496.24/8,230.50 = 3,641.80/x
  3. Step 3: Cross multiply
    5,496.24x = 8,230.50 × 3,641.80
  4. Step 4: Simplify right side
    5,496.24x = 29,973,834.90
  5. Step 5: Solve for x
    x = 29,973,834.90/5,496.24
  6. Step 6: Final answer
    x = 5,453.52

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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.