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Finding the Fourth Proportional to 4,812, 6,641.91 and 3,221.70

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Solution

The fourth proportional to 4,812, 6,641.91 and 3,221.70 is: 4,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812 : 6,641.91 = 3,221.70 : x
  2. Step 2: Convert to fraction form
    4,812/6,641.91 = 3,221.70/x
  3. Step 3: Cross multiply
    4,812x = 6,641.91 × 3,221.70
  4. Step 4: Simplify right side
    4,812x = 21,398,241.45
  5. Step 5: Solve for x
    x = 21,398,241.45/4,812
  6. Step 6: Final answer
    x = 4,446.85

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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.