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Finding the Fourth Proportional to 6,284.48, 8,674.14 and 3,633.54

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Solution

The fourth proportional to 6,284.48, 8,674.14 and 3,633.54 is: 5,015.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.48 : 8,674.14 = 3,633.54 : x
  2. Step 2: Convert to fraction form
    6,284.48/8,674.14 = 3,633.54/x
  3. Step 3: Cross multiply
    6,284.48x = 8,674.14 × 3,633.54
  4. Step 4: Simplify right side
    6,284.48x = 31,517,834.66
  5. Step 5: Solve for x
    x = 31,517,834.66/6,284.48
  6. Step 6: Final answer
    x = 5,015.19

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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.