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Finding the Fourth Proportional to 5,649.20, 8,457.60 and 3,462.20

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Solution

The fourth proportional to 5,649.20, 8,457.60 and 3,462.20 is: 5,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.20 : 8,457.60 = 3,462.20 : x
  2. Step 2: Convert to fraction form
    5,649.20/8,457.60 = 3,462.20/x
  3. Step 3: Cross multiply
    5,649.20x = 8,457.60 × 3,462.20
  4. Step 4: Simplify right side
    5,649.20x = 29,281,902.72
  5. Step 5: Solve for x
    x = 29,281,902.72/5,649.20
  6. Step 6: Final answer
    x = 5,183.37

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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.