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Finding the Fourth Proportional to 6,268.37, 8,649.53 and 3,616.64

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Solution

The fourth proportional to 6,268.37, 8,649.53 and 3,616.64 is: 4,990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.37 : 8,649.53 = 3,616.64 : x
  2. Step 2: Convert to fraction form
    6,268.37/8,649.53 = 3,616.64/x
  3. Step 3: Cross multiply
    6,268.37x = 8,649.53 × 3,616.64
  4. Step 4: Simplify right side
    6,268.37x = 31,282,174.85
  5. Step 5: Solve for x
    x = 31,282,174.85/6,268.37
  6. Step 6: Final answer
    x = 4,990.48

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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.