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Finding the Fourth Proportional to 6,285.91, 8,674.05 and 3,633.49

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Solution

The fourth proportional to 6,285.91, 8,674.05 and 3,633.49 is: 5,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.91 : 8,674.05 = 3,633.49 : x
  2. Step 2: Convert to fraction form
    6,285.91/8,674.05 = 3,633.49/x
  3. Step 3: Cross multiply
    6,285.91x = 8,674.05 × 3,633.49
  4. Step 4: Simplify right side
    6,285.91x = 31,517,073.93
  5. Step 5: Solve for x
    x = 31,517,073.93/6,285.91
  6. Step 6: Final answer
    x = 5,013.92

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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.