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Finding the Fourth Proportional to 6,284.99, 8,672.64 and 3,633.26

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Solution

The fourth proportional to 6,284.99, 8,672.64 and 3,633.26 is: 5,013.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.99 : 8,672.64 = 3,633.26 : x
  2. Step 2: Convert to fraction form
    6,284.99/8,672.64 = 3,633.26/x
  3. Step 3: Cross multiply
    6,284.99x = 8,672.64 × 3,633.26
  4. Step 4: Simplify right side
    6,284.99x = 31,509,912.64
  5. Step 5: Solve for x
    x = 31,509,912.64/6,284.99
  6. Step 6: Final answer
    x = 5,013.52

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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.