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Finding the Fourth Proportional to 5,443.97, 7,511.69 and 3,206.21

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Solution

The fourth proportional to 5,443.97, 7,511.69 and 3,206.21 is: 4,423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.97 : 7,511.69 = 3,206.21 : x
  2. Step 2: Convert to fraction form
    5,443.97/7,511.69 = 3,206.21/x
  3. Step 3: Cross multiply
    5,443.97x = 7,511.69 × 3,206.21
  4. Step 4: Simplify right side
    5,443.97x = 24,084,039.56
  5. Step 5: Solve for x
    x = 24,084,039.56/5,443.97
  6. Step 6: Final answer
    x = 4,423.98

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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.