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Finding the Fourth Proportional to 5,633.84, 8,444.90 and 2,121.44

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Solution

The fourth proportional to 5,633.84, 8,444.90 and 2,121.44 is: 3,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.84 : 8,444.90 = 2,121.44 : x
  2. Step 2: Convert to fraction form
    5,633.84/8,444.90 = 2,121.44/x
  3. Step 3: Cross multiply
    5,633.84x = 8,444.90 × 2,121.44
  4. Step 4: Simplify right side
    5,633.84x = 17,915,348.66
  5. Step 5: Solve for x
    x = 17,915,348.66/5,633.84
  6. Step 6: Final answer
    x = 3,179.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.