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Finding the Fourth Proportional to 6,268.62, 8,649.87 and 3,616.14

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Solution

The fourth proportional to 6,268.62, 8,649.87 and 3,616.14 is: 4,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.62 : 8,649.87 = 3,616.14 : x
  2. Step 2: Convert to fraction form
    6,268.62/8,649.87 = 3,616.14/x
  3. Step 3: Cross multiply
    6,268.62x = 8,649.87 × 3,616.14
  4. Step 4: Simplify right side
    6,268.62x = 31,279,140.90
  5. Step 5: Solve for x
    x = 31,279,140.90/6,268.62
  6. Step 6: Final answer
    x = 4,989.80

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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.