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Finding the Fourth Proportional to 5,649.22, 8,469.72 and 2,363.26

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Solution

The fourth proportional to 5,649.22, 8,469.72 and 2,363.26 is: 3,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.22 : 8,469.72 = 2,363.26 : x
  2. Step 2: Convert to fraction form
    5,649.22/8,469.72 = 2,363.26/x
  3. Step 3: Cross multiply
    5,649.22x = 8,469.72 × 2,363.26
  4. Step 4: Simplify right side
    5,649.22x = 20,016,150.49
  5. Step 5: Solve for x
    x = 20,016,150.49/5,649.22
  6. Step 6: Final answer
    x = 3,543.17

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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.