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Finding the Fourth Proportional to 5,543.26, 8,313.80 and 1,646.80

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Solution

The fourth proportional to 5,543.26, 8,313.80 and 1,646.80 is: 2,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.26 : 8,313.80 = 1,646.80 : x
  2. Step 2: Convert to fraction form
    5,543.26/8,313.80 = 1,646.80/x
  3. Step 3: Cross multiply
    5,543.26x = 8,313.80 × 1,646.80
  4. Step 4: Simplify right side
    5,543.26x = 13,691,165.84
  5. Step 5: Solve for x
    x = 13,691,165.84/5,543.26
  6. Step 6: Final answer
    x = 2,469.88

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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.