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Finding the Fourth Proportional to 3,213.81, 4,821.32 and 2,176.20

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Solution

The fourth proportional to 3,213.81, 4,821.32 and 2,176.20 is: 3,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.81 : 4,821.32 = 2,176.20 : x
  2. Step 2: Convert to fraction form
    3,213.81/4,821.32 = 2,176.20/x
  3. Step 3: Cross multiply
    3,213.81x = 4,821.32 × 2,176.20
  4. Step 4: Simplify right side
    3,213.81x = 10,492,162.02
  5. Step 5: Solve for x
    x = 10,492,162.02/3,213.81
  6. Step 6: Final answer
    x = 3,264.71

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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.