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Finding the Fourth Proportional to 6,268.24, 8,649.89 and 3,748.88

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Solution

The fourth proportional to 6,268.24, 8,649.89 and 3,748.88 is: 5,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.24 : 8,649.89 = 3,748.88 : x
  2. Step 2: Convert to fraction form
    6,268.24/8,649.89 = 3,748.88/x
  3. Step 3: Cross multiply
    6,268.24x = 8,649.89 × 3,748.88
  4. Step 4: Simplify right side
    6,268.24x = 32,427,416.56
  5. Step 5: Solve for x
    x = 32,427,416.56/6,268.24
  6. Step 6: Final answer
    x = 5,173.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.